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Scientia Professor Fedor Sukochev
Professor

Scientia Professor Fedor Sukochev

Science
School of Mathematics & Statistics

RESEARCH INTERESTS
 
Non-commutative functional analysis and its applications to non-commutative geometry;

Banach space geometry and its applications 
Phone
9385 6967
E-mail
f.sukochev@unsw.edu.au
Location
School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red Centre Room 5109
  • Books | 2023
    Carey A; Gesztesy F; Levitina G; Nichols R; Sukochev F; Zanin D, 2023, The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators, EMS Press, http://dx.doi.org/10.4171/mems/4
    Books | 2023
    Lord S; McDonald E; Sukochev F; Zanin D, 2023, Singular Traces: Second Edition, http://dx.doi.org/10.1515/9783110700176
    Books | 2019
    Buskes G; de Jeu M; Dodds P; Schep A; Sukochev F; van Neerven J; Wickstead A, 2019, Preface
    Books | 2012
    Lord S; Sukochev F; Zanin DV, 2012, Singular Traces: Theory and Applications, Original, Walter de Gruyter GmbH, Germany
  • Book Chapters | 2020
    Levitina G; Sukochev F, 2020, 'Quantised Calculus for Perturbed Massive Dirac Operator on Noncommutative Euclidean Space', in Spectral Theory and Mathematical Physics, Springer International Publishing, pp. 179 - 198, http://dx.doi.org/10.1007/978-3-030-55556-6_10
    Book Chapters | 2020
    Lord S; Zanin D; Sukochev F, 2020, 'Advances in Dixmier traces and applications', in Advances in Noncommutative Geometry On the Occasion of Alain Connes' 70th Birthday, Springer Nature, pp. 491 - 593
    Book Chapters | 2019
    Potapov D; Sukochev F; Vella D; Zanin D, 2019, 'A residue formula for locally compact noncommutative manifolds', in Positivity and Noncommutative Analysis, pp. 471 - 510, http://dx.doi.org/10.1007/978-3-030-10850-2_24
    Book Chapters | 2015
    Gesztesy F; Latushkin Y; Sukochev F; Tomilov Y, 2015, 'Some operator bounds employing complex interpolation revisited', in Arendt W; Chill R; Tomilov Y (ed.), Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, Springer International Publishing, pp. 213 - 239, http://dx.doi.org/10.1007/978-3-319-18494-4_14
    Book Chapters | 2013
    Sukochev F, 2013, 'On a conjecture of A. Bikchentaev', in , American Mathematical Society, pp. 327 - 339, http://dx.doi.org/10.1090/pspum/087/01428
    Book Chapters | 2006
    Sukochev F; Benameur MT; Carey AL; Phillips J; Rennie A; Wojciechowski KP, 2006, 'Analytic formulae for Spectral Flow in von Neumann algebras', in Booss Bavnbek B; Klimek S; Lesch M; Zhang W (ed.), Analysis, Geometry and topology of elliptic operators, edn. Original, World Scientific, Singapore
  • Journal articles | 2023
    Ber A; Huang J; Kudaybergenov K; Sukochev F, 2023, 'Non-existence of translation-invariant derivations on algebras of measurable functions', Quaestiones Mathematicae, 46, pp. 909 - 926, http://dx.doi.org/10.2989/16073606.2022.2053225
    Journal articles | 2023
    Ber A; Huang J; Sukochev F, 2023, 'Norms of skew-adjoint derivations with values in the predual of a semifinite von Neumann algebra', Journal of Functional Analysis, 285, pp. 110072, http://dx.doi.org/10.1016/j.jfa.2023.110072
    Journal articles | 2023
    Ber A; Sukochev F; Zanin D; Zhao H, 2023, 'Diagonality modulo hybrid Lorentz-(p,1) ideals in semifinite factors', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110071
    Journal articles | 2023
    Ber AF; Borst MJ; Borst SJ; Sukochev FA, 2023, 'A solution to the multidimensional additive homological equation', Izvestiya Mathematics, 87, pp. 201 - 251, http://dx.doi.org/10.4213/im9319e
    Journal articles | 2023
    Dzhusoeva N; Huang J; Pliev M; Sukochev F, 2023, 'Lateral order on complex vector lattices and narrow operators', Mathematische Nachrichten, http://dx.doi.org/10.1002/mana.202200415
    Journal articles | 2023
    Frank RL; Sukochev F; Zanin D, 2023, 'ASYMPTOTICS OF SINGULAR VALUES FOR QUANTUM DERIVATIVES', Transactions of the American Mathematical Society, 376, pp. 2047 - 2088, http://dx.doi.org/10.1090/tran/8827
    Journal articles | 2023
    Huang J; Kudaybergenov K; Sukochev F, 2023, 'Ring derivations of Murray–von Neumann algebras', Linear Algebra and Its Applications, 672, pp. 28 - 52, http://dx.doi.org/10.1016/j.laa.2023.04.011
    Journal articles | 2023
    Huang J; Pliev M; Sukochev F, 2023, 'A NONCOMMUTATIVE GRETSKY–OSTROY THEOREM AND ITS APPLICATIONS', Proceedings of the American Mathematical Society, 151, pp. 1147 - 1155, http://dx.doi.org/10.1090/proc/16173
    Journal articles | 2023
    Huang J; Sukochev F, 2023, 'Hermitian operators and isometries on symmetric operator spaces', Journal of the European Mathematical Society, http://dx.doi.org/10.4171/jems/1332
    Journal articles | 2023
    Jiao Y; Sukochev F; Wu L; Zanin D, 2023, 'Distributional inequalities for noncommutative martingales', Journal of Functional Analysis, 284, http://dx.doi.org/10.1016/j.jfa.2022.109798
    Journal articles | 2023
    McDonald E; Sukochev F; Zanin D, 2023, 'Spectral estimates and asymptotics for stratified Lie groups', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110105
    Journal articles | 2023
    Pliev M; Sukochev F, 2023, 'Narrow operators on tensor products of Köthe spaces', Journal of Mathematical Analysis and Applications, 522, pp. 126950 - 126950, http://dx.doi.org/10.1016/j.jmaa.2022.126950
    Journal articles | 2023
    Semenov E; Sukochev F; Usachev A, 2023, 'Banach Limits and Their Applications', Notices of the American Mathematical Society, 70, pp. 918 - 925, http://dx.doi.org/10.1090/noti2718
    Journal articles | 2023
    Sukochev F; Veksler A, 2023, 'On special representations of automorphisms of σ -finite measure spaces using Poincare recurrence theorem and Hopf decomposition', Advances in Operator Theory, 8, http://dx.doi.org/10.1007/s43036-023-00279-5
    Journal articles | 2023
    Sukochev F; Xiong X; Zanin D, 2023, 'Asymptotics of singular values for quantised derivatives on noncommutative tori', Journal of Functional Analysis, 285, pp. 110021 - 110021, http://dx.doi.org/10.1016/j.jfa.2023.110021
    Journal articles | 2023
    Sukochev F; Zanin D, 2023, 'Optimal Cwikel–Solomyak Estimates', Journal of Fourier Analysis and Applications, 29, http://dx.doi.org/10.1007/s00041-023-10003-9
    Journal articles | 2023
    Sukochev F; Zanin D, 2023, 'Resolution of a problem by Simon concerning Schrödinger operators via methods from noncommutative geometry', Journal d'Analyse Mathematique, 149, pp. 555 - 562, http://dx.doi.org/10.1007/s11854-022-0257-9
    Journal articles | 2023
    Sukochev F; Zanin D, 2023, 'SYMMETRIC BANACH SEQUENCE SPACES RESPECT WEYL SUBMAJORIZATION', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 151, pp. 2907 - 2917, http://dx.doi.org/10.1090/proc/15791
    Journal articles | 2023
    Zanin DV; Sukochev FA, 2023, 'Connes Integration Formula: A Constructive Approach', Functional Analysis and its Applications, 57, pp. 40 - 59, http://dx.doi.org/10.1134/S0016266323010045
    Journal articles | 2023
    Бер АФ; Ber AF; Борст М; Borst M; Борст С; Borst S; Сукочев ФА; Sukochev FA, 2023, 'Решение многомерного аддитивного гомологического уравнения', Известия Российской академии наук. Серия математическая, 87, pp. 3 - 55, http://dx.doi.org/10.4213/im9319
    Journal articles | 2023
    Занин ДВ; Zanin DV; Сукочев ФА; Sukochev FA, 2023, 'Формула интегрирования Конна - конструктивный подход', Функциональный анализ и его приложения, 57, pp. 52 - 76, http://dx.doi.org/10.4213/faa4025
    Journal articles | 2022
    Astashkin S; Huang J; Pliev M; Sukochev F; Zanin D, 2022, 'Optimal Range of Haar Martingale Transforms and Its Applications', INTERNATIONAL MATHEMATICS RESEARCH NOTICES, http://dx.doi.org/10.1093/imrn/rnac273
    Journal articles | 2022
    Astashkin S; Sukochev F; Zanin D, 2022, 'The distribution of a random variable whose independent copies span ℓM is unique', Revista Matematica Complutense, 35, pp. 815 - 834, http://dx.doi.org/10.1007/s13163-021-00406-x
    Journal articles | 2022
    Azamov N; Hekkelman E; McDonald E; Sukochev F; Zanin D, 2022, 'An application of singular traces to crystals and percolation', Journal of Geometry and Physics, 179, pp. 104608 - 104608, http://dx.doi.org/10.1016/j.geomphys.2022.104608
    Journal articles | 2022
    Azamov N; McDonald E; Sukochev F; Zanin D, 2022, 'THE DENSITY OF STATES DEPENDS ON THE DOMAIN', Operators and Matrices, 16, pp. 1185 - 1189, http://dx.doi.org/10.7153/oam-2022-16-77
    Journal articles | 2022
    Ber A; Huang J; Levitina G; Sukochev F, 2022, 'Derivations with Values in the Ideal of τ -Compact Operators Affiliated with a Semifinite von Neumann Algebra', Communications in Mathematical Physics, 390, pp. 577 - 616, http://dx.doi.org/10.1007/s00220-022-04313-0
    Journal articles | 2022
    Ber A; Kudaybergenov K; Sukochev F, 2022, 'Derivations of Murray-von Neumann algebras', Journal fur die Reine und Angewandte Mathematik, 2022, pp. 283 - 301, http://dx.doi.org/10.1515/crelle-2022-0051
    Journal articles | 2022
    Carey A; Levitina G; Potapov D; Sukochev F, 2022, 'The Witten index and the spectral shift function', Reviews in Mathematical Physics, 34, http://dx.doi.org/10.1142/S0129055X22500118
    Journal articles | 2022
    Coine C; Le Merdy C; Sukochev F, 2022, 'When do triple operator integrals take value in the trace class?', Annales de l'Institut Fourier, 71, pp. 1393 - 1448, http://dx.doi.org/10.5802/aif.3422
    Journal articles | 2022
    Huang J; Pliev M; Sukochev F, 2022, '(Non-)Dunford–Pettis operators on noncommutative symmetric spaces', Journal of Functional Analysis, 282, pp. 109443 - 109443, http://dx.doi.org/10.1016/j.jfa.2022.109443
    Journal articles | 2022
    Huang J; Pliev M; Sukochev F, 2022, 'On Narrow Operators from Lp into Operator Ideals', Mediterranean Journal of Mathematics, 19, http://dx.doi.org/10.1007/s00009-022-02118-y
    Journal articles | 2022
    Huang J; Pliev M; Sukochev F, 2022, 'ℓ2-STRICTLY SINGULAR OPERATORS ON THE PREDUAL OF A HYPERFINITE VON NEUMANN ALGEBRA', Proceedings of the American Mathematical Society, 150, pp. 1623 - 1633, http://dx.doi.org/10.1090/proc/15737
    Journal articles | 2022
    Huang J; Sadovskaya O; Sukochev F, 2022, 'On Arazy's problem concerning isomorphic embeddings of ideals of compact operators', Advances in Mathematics, 406, http://dx.doi.org/10.1016/j.aim.2022.108530
    Journal articles | 2022
    Huang J; Sukochev F; Zanin D, 2022, 'Operator θ-Hölder functions with respect to (Formula presented.)', Journal of the London Mathematical Society, 105, pp. 2436 - 2477, http://dx.doi.org/10.1112/jlms.12565
    Journal articles | 2022
    Huang J; Sukochev F; Zanin D, 2022, 'Optimal estimates for martingale transforms', Journal of Functional Analysis, 282, pp. 109451 - 109451, http://dx.doi.org/10.1016/j.jfa.2022.109451
    Journal articles | 2022
    Jiao Y; Sukochev F; Xie G; Zanin D, 2022, 'Free Rosenthal Inequalities on Vector-Valued Symmetric Operator Spaces', International Mathematics Research Notices, 2022, pp. 16634 - 16671, http://dx.doi.org/10.1093/imrn/rnab197
    Journal articles | 2022
    McDonald E; Sukochev F; Zanin D, 2022, 'A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry', Letters in Mathematical Physics, 112, http://dx.doi.org/10.1007/s11005-022-01568-5
    Journal articles | 2022
    McDonald E; Sukochev F, 2022, 'Lipschitz estimates in quasi-Banach Schatten ideals', Mathematische Annalen, 383, pp. 571 - 619, http://dx.doi.org/10.1007/s00208-021-02247-x
    Journal articles | 2022
    Semenov E; Sukochev F; Zanin D, 2022, 'Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry', Journal of Mathematical Analysis and Applications, 510, http://dx.doi.org/10.1016/j.jmaa.2022.126043
    Journal articles | 2022
    Sukochev F; Tulenov K; Zanin D, 2022, 'A weak type (1, 1) estimate for the Hilbert operator in higher-dimensional setting', Studia Mathematica, 265, pp. 241 - 256, http://dx.doi.org/10.4064/sm201201-4-11
    Journal articles | 2022
    Sukochev FA; Zanin DV, 2022, 'Solomyak-type eigenvalue estimates for the Birman-Schwinger operator', Sbornik Mathematics, 213, pp. 1250 - 1289, http://dx.doi.org/10.4213/sm9732e
    Journal articles | 2022
    Сукочев ФА; Sukochev FA; Занин ДВ; Zanin DV, 2022, 'Оценки Соломяка для оператора Бирмана-Швингера', Математический сборник, 213, pp. 97 - 137, http://dx.doi.org/10.4213/sm9732
    Journal articles | 2021
    Ber A; Borst M; Sukochev F, 2021, 'Full proof of Kwapien's theorem on representing bounded mean zero functions on [0,1]', STUDIA MATHEMATICA, 259, pp. 241 - 270, http://dx.doi.org/10.4064/sm191129-31-8
    Journal articles | 2021
    Bikchentaev A; Sukochev F, 2021, 'Inequalities for the block projection operators', Journal of Functional Analysis, 280, http://dx.doi.org/10.1016/j.jfa.2020.108851
    Journal articles | 2021
    Caspers M; Sukochev F; Zanin D, 2021, 'Weak (1,1) estimates for multiple operator integrals and generalized absolute value functions', Israel Journal of Mathematics, 244, pp. 245 - 271, http://dx.doi.org/10.1007/s11856-021-2179-0
    Journal articles | 2021
    Coine C; Le Merdy C; Sukochev F, 2021, 'When do triple operator integrals take value in the trace class?', ANNALES DE L INSTITUT FOURIER, 71, pp. 1393 - 1448, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000772480200013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Journal articles | 2021
    Huang J; Sukochev F, 2021, 'Alberti--Uhlmann problem on Hardy--Littlewood--Pólya majorization', Communications in Mathematical Physics, 2021, http://dx.doi.org/10.1007/s00220-021-04184-x
    Journal articles | 2021
    Huang J; Sukochev F, 2021, 'Isomorphic classification of Lp,q-spaces, II', Journal of Functional Analysis, 280, pp. 2611 - 2630, http://dx.doi.org/10.1016/j.jfa.2021.108994
    Journal articles | 2021
    Jiao Y; Sukochev F; Zhou D, 2021, 'Maximal Inequalities of Noncommutative Martingale Transforms', Canadian Journal of Mathematics, 73, pp. 221 - 248, http://dx.doi.org/10.4153/S0008414X19000580
    Journal articles | 2021
    Junge M; Scheckter TT; Sukochev F, 2021, 'A noncommutative generalisation of a problem of Steinhaus', Journal of Functional Analysis, 280, pp. 108782 - 108782, http://dx.doi.org/10.1016/j.jfa.2020.108782
    Journal articles | 2021
    McDonald E; Scheckter TT; Sukochev FA, 2021, 'Estimates for Schur Multipliers and Double Operator Integrals—A Wavelet Approach', Functional Analysis and its Applications, 55, pp. 81 - 93, http://dx.doi.org/10.1134/S0016266321020015
    Journal articles | 2021
    Nessipbayev Y; Sukochev F; Tulenov K, 2021, 'Non-commutative analogues of weak compactness criteria in symmetric spaces', Advances in Operator Theory, 6, http://dx.doi.org/10.1007/s43036-021-00129-2
    Journal articles | 2021
    Pliev M; Sukochev F, 2021, 'The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces', Journal of Mathematical Analysis and Applications, 500, http://dx.doi.org/10.1016/j.jmaa.2021.125142
    Journal articles | 2021
    Sukochev F; Tulenov K; Zanin D, 2021, 'The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications', Bulletin des Sciences Mathematiques, 167, http://dx.doi.org/10.1016/j.bulsci.2020.102943
    Journal articles | 2021
    Sukochev F; Zanin D, 2021, 'Optimal constants in non-commutative hölder inequality for quasi-norms', Proceedings of the American Mathematical Society, 149, pp. 3813 - 3817, http://dx.doi.org/10.1090/proc/15442
    Journal articles | 2021
    Sukochev FA; Huang J, 2021, 'Isometries on Noncommutative Symmetric Spaces', Doklady Mathematics, 103, pp. 54 - 56, http://dx.doi.org/10.1134/S1064562421010129
    Journal articles | 2021
    Макдональд Э; McDonald E; Шектер ТЦ; Scheckter TT; Сукочев ФА; Sukochev FA, 2021, 'Использование всплесков в оценках мультипликаторов Шура и двойных операторных интегралах', Функциональный анализ и его приложения, 55, pp. 5 - 20, http://dx.doi.org/10.4213/faa3872
    Journal articles | 2020
    Astashkin S; Huang J; Sukochev F, 2020, 'Lack of isomorphic embeddings of symmetric function spaces into operator ideals', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2020.108895
    Journal articles | 2020
    Azamov N; McDonald E; Sukochev F; Zanin D, 2020, 'A Dixmier Trace Formula for the Density of States', Communications in Mathematical Physics, 377, pp. 2597 - 2628, http://dx.doi.org/10.1007/s00220-020-03756-7
    Journal articles | 2020
    Ber A; Kudaybergenov K; Sukochev F, 2020, 'Notes on derivations of Murray–von Neumann algebras', Journal of Functional Analysis, 279, http://dx.doi.org/10.1016/j.jfa.2020.108589
    Journal articles | 2020
    Bikchentaev A; McDonald E; Sukochev F, 2020, 'Ando's inequality for uniform submajorization', Linear Algebra and Its Applications, 605, pp. 206 - 226, http://dx.doi.org/10.1016/j.laa.2020.07.015
    Journal articles | 2020
    Britz T; Carey A; Gesztesy F; Nichols R; Sukochev F; Zanin D, 2020, 'The product formula for regularized Fredholm determinants', Proceedings of the American Mathematical Society, Series B, 8, pp. 42 - 51, http://dx.doi.org/10.1090/bproc/70
    Journal articles | 2020
    Caspers M; Junge M; Sukochev F; Zanin D, 2020, 'BMO-estimates for non-commutative vector valued Lipschitz functions', Journal of Functional Analysis, 278, http://dx.doi.org/10.1016/j.jfa.2019.108317
    Journal articles | 2020
    Charlesworth I; Dykema K; Sukochev F; Zanin D, 2020, 'Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra', Canadian Journal of Mathematics, 72, pp. 1188 - 1245, http://dx.doi.org/10.4153/S0008414X19000282
    Journal articles | 2020
    Dauitbek D; Huang J; Sukochev F, 2020, 'Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart', Advances in Mathematics, http://dx.doi.org/10.1016/j.aim.2020.107050
    Journal articles | 2020
    Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable Operators: Part II', Integral Equations and Operator Theory, 92, http://dx.doi.org/10.1007/s00020-020-02586-5
    Journal articles | 2020
    Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable operators: Part I', Integral Equations and Operator Theory, 92, http://dx.doi.org/10.1007/s00020-020-02585-6
    Journal articles | 2020
    Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Logarithmic submajorization, uniform majorization and Hölder type inequalities for τ-measurable operators', Indagationes Mathematicae, 31, pp. 809 - 830, http://dx.doi.org/10.1016/j.indag.2020.02.004
    Journal articles | 2020
    Huang J; Levitina G; Sukochev F, 2020, 'M-embedded symmetric operator spaces and the derivation problem', Mathematical Proceedings of the Cambridge Philosophical Society, 169, pp. 607 - 622, http://dx.doi.org/10.1017/S030500411900029X
    Journal articles | 2020
    Huang J; Sukochev F, 2020, 'Operator \theta-Hölder functions', Banach Journal of Mathematical Analysis, http://dx.doi.org/10.1007/s43037-020-00056-z
    Journal articles | 2020
    Jiao Y; Sukochev F; Xie G; Zanin D, 2020, 'Rosenthal’s inequalities: ∆-norms and quasi-Banach symmetric sequence spaces', Studia Mathematica, 255, pp. 55 - 81, http://dx.doi.org/10.4064/sm190503-28-10
    Journal articles | 2020
    Jiao Y; Sukochev F; Zanin D, 2020, 'On subspaces spanned by freely independent random variables in noncommutative Lp-spaces', Israel Journal of Mathematics, 238, pp. 431 - 477, http://dx.doi.org/10.1007/s11856-020-2047-3
    Journal articles | 2020
    Jiao Y; Sukochev F; Zanin D, 2020, 'Sums of independent and freely independent identically distributed random variables', Studia Mathematica, 251, pp. 289 - 315, http://dx.doi.org/10.4064/sm180912-31-12
    Journal articles | 2020
    Levitina G; Sukochev F; Zanin D, 2020, 'Cwikel estimates revisited', Proceedings of the London Mathematical Society, 120, pp. 265 - 304, http://dx.doi.org/10.1112/plms.12301
    Journal articles | 2020
    Lord S; Sukochev F; Zanin D, 2020, 'A last theorem of Kalton and finiteness of Connes' integral', Journal of Functional Analysis, 279, http://dx.doi.org/10.1016/j.jfa.2020.108664
    Journal articles | 2020
    McDonald E; Sukochev F; Xiong X, 2020, 'Quantum Differentiability on Noncommutative Euclidean Spaces', Communications in Mathematical Physics, 379, pp. 491 - 542, http://dx.doi.org/10.1007/s00220-019-03605-2
    Journal articles | 2020
    Pliev M; Sukochev F; Zanin D, 2020, 'Lp- Bounds for the Krein Spectral Shift Function: 0<p<∞', Russian Journal of Mathematical Physics, 27, pp. 491 - 499, http://dx.doi.org/10.1134/S1061920820040093
    Journal articles | 2020
    Semenov E; Sukochev F; Usachev A; Zanin D, 2020, 'INVARIANT BANACH LIMITS AND APPLICATIONS TO NONCOMMUTATIVE GEOMETRY', Pacific Journal of Mathematics, 306, pp. 357 - 373, http://dx.doi.org/10.2140/pjm.2020.306.357
    Journal articles | 2020
    Semenov EM; Sukochev FA; Usachev AS, 2020, 'Geometry of Banach limits and their applications', Russian Mathematical Surveys, 75, pp. 725 - 763, http://dx.doi.org/10.1070/RM9901
    Journal articles | 2020
    Sukochev F; Zhou D, 2020, '2-co-lacunary sequences in noncommutative symmetric banach spaces', Proceedings of the American Mathematical Society, 148, pp. 2045 - 2058, http://dx.doi.org/10.1090/proc/14862
    Journal articles | 2020
    de Pagter B; Sukochev FA, 2020, 'The Grothendieck property in Marcinkiewicz spaces', Indagationes Mathematicae, 31, pp. 791 - 808, http://dx.doi.org/10.1016/j.indag.2020.01.008
    Journal articles | 2020
    Семeнов ЕМ; Semenov EM; Сукочев ФА; Sukochev FA; Усачев АС; Usachev AS, 2020, 'Геометрия банаховых пределов и их приложения', Uspekhi Matematicheskikh Nauk, 75, pp. 153 - 194, http://dx.doi.org/10.4213/rm9901
    Journal articles | 2019
    Bikchentaev A; Sukochev F, 2019, 'When weak and local measure convergence implies norm convergence', Journal of Mathematical Analysis and Applications, 473, pp. 1414 - 1431, http://dx.doi.org/10.1016/j.jmaa.2019.01.028
    Journal articles | 2019
    Caspers M; Potapov D; Sukochev F; Zanin D, 2019, 'WEAK TYPE COMMUTATOR AND LIPSCHITZ ESTIMATES: RESOLUTION OF THE NAZAROV-PELLER CONJECTURE', AMERICAN JOURNAL OF MATHEMATICS, 141, pp. 593 - 610, http://dx.doi.org/10.1353/ajm.2019.0019
    Journal articles | 2019
    Coine C; Le Merdy C; Skripka A; Sukochev F, 2019, 'Higher order S 2 -differentiability and application to Koplienko trace formula', Journal of Functional Analysis, 276, pp. 3170 - 3204, http://dx.doi.org/10.1016/j.jfa.2018.09.005
    Journal articles | 2019
    Connes A; Levitina G; McDonald E; Sukochev F; Zanin D, 2019, 'Noncommutative geometry for symmetric non-self-adjoint operators', Journal of Functional Analysis, 277, pp. 889 - 936, http://dx.doi.org/10.1016/j.jfa.2018.12.012
    Journal articles | 2019
    Connes A; Mcdonald E; Sukochev F; Zanin D, 2019, 'Conformal trace theorem for Julia sets of quadratic polynomials', Ergodic Theory and Dynamical Systems, 39, pp. 2481 - 2506, http://dx.doi.org/10.1017/etds.2017.124
    Journal articles | 2019
    Huang J; Sukochev F; Zanin D, 2019, 'Logarithmic submajorisation and order-preserving linear isometries', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2019.108352
    Journal articles | 2019
    Huang J; Sukochev F, 2019, 'Interpolation between L(M, τ) and L ∞ (M, τ)', Mathematische Zeitschrift, pp. 1657 - 1672, http://dx.doi.org/10.1007/s00209-019-02259-z
    Journal articles | 2019
    Levitina G; Sukochev F; Zanin D, 2019, 'Sign of a perturbed massive Dirac operator and associated Fredholm module', Journal of Geometry and Physics, 136, pp. 244 - 267, http://dx.doi.org/10.1016/j.geomphys.2018.09.017
    Journal articles | 2019
    McDonald E; Sukochev F; Zanin D, 2019, 'A C ∗ -algebraic approach to the principal symbol II', Mathematische Annalen, http://dx.doi.org/10.1007/s00208-019-01822-7
    Journal articles | 2019
    Mcdonald E; Sukochev F; Xiong X, 2019, 'Quantum Differentiability on Quantum Tori', Communications in Mathematical Physics, 371, pp. 1231 - 1260, http://dx.doi.org/10.1007/s00220-019-03384-w
    Journal articles | 2019
    Potapov D; Sukochev F; Tomskova A; Zanin D, 2019, 'FrÉchet differentiability of the norm of Lp-spaces associated with arbitrary von Neumann algebras', Transactions of the American Mathematical Society, 371, pp. 7493 - 7532, http://dx.doi.org/10.1090/tran/7215
    Journal articles | 2019
    Semenov E; Sukochev F; Usachev A; Zanin D, 2019, 'Dilation invariant Banach limits', Indagationes Mathematicae, http://dx.doi.org/10.1016/j.indag.2019.12.003
    Journal articles | 2019
    Semenov EM; Sukochev FA; Usachev AS, 2019, 'The main classes of invariant Banach limits', Izvestiya Mathematics, 83, pp. 124 - 150, http://dx.doi.org/10.1070/IM8704
    Journal articles | 2019
    Sukochev F; Tulenov K; Zanin D, 2019, 'The optimal range of the Calderòn operator and its applications', Journal of Functional Analysis, 277, pp. 3513 - 3559, http://dx.doi.org/10.1016/j.jfa.2019.05.012
    Journal articles | 2019
    Sukochev F; Veksler A, 2019, 'The Mean Ergodic Theorem in symmetric spaces', Studia Mathematica, 245, pp. 229 - 253, http://dx.doi.org/10.4064/sm170311-31-10
    Journal articles | 2019
    Бер АФ; Ber AF; Кудайбергенов КК; Kudaybergenov KK; Сукочев ФА; Sukochev FA, 2019, 'Дифференцирования на алгебрах Мюррея-фон Неймана', Uspekhi Matematicheskikh Nauk, 74, pp. 183 - 184, http://dx.doi.org/10.4213/rm9902
    Journal articles | 2018
    Alekhno E; Semenov E; Sukochev F; Usachev A, 2018, 'Invariant Banach limits and their extreme points', Studia Mathematica, 242, pp. 79 - 107, http://dx.doi.org/10.4064/sm8785-5-2017
    Journal articles | 2018
    Ber A; Chilin V; Sukochev F; Zanin D, 2018, 'Fuglede-putnam theorem for locally measurable operators', Proceedings of the American Mathematical Society, 146, pp. 1681 - 1692, http://dx.doi.org/10.1090/proc/13845
    Journal articles | 2018
    Ber A; Sukochev F; Zanin D, 2018, 'Heisenberg relation for locally measurable operators', Advances in Mathematics, 335, pp. 211 - 230, http://dx.doi.org/10.1016/j.aim.2018.07.010
    Journal articles | 2018
    Carey A; Gesztesy F; Kaad J; Levitina G; Nichols R; Potapov D; Sukochev F, 2018, 'On the Global Limiting Absorption Principle for Massless Dirac Operators', Annales Henri Poincare, 19, pp. 1993 - 2019, http://dx.doi.org/10.1007/s00023-018-0675-5
    Journal articles | 2018
    Caspers M; Sukochev F; Zanin D, 2018, 'Weak type operator Lipschitz and commutator estimates for commuting tuples', Annales de l'Institut Fourier, 68, pp. 1643 - 1669, http://dx.doi.org/10.5802/aif.3195
    Journal articles | 2018
    Levitina G; Sukochev F; Vella D; Zanin D, 2018, 'Schatten Class Estimates for the Riesz Map of Massless Dirac Operators', Integral Equations and Operator Theory, 90, http://dx.doi.org/10.1007/s00020-018-2445-7
    Journal articles | 2018
    Sadovskaya O; Sukochev F, 2018, 'Isomorphic classification of Lp,q-spaces: The case p = 2, 1 ≤ q < 2', Proceedings of the American Mathematical Society, 146, pp. 3975 - 3984, http://dx.doi.org/10.1090/proc/14058
    Journal articles | 2018
    Scheckter TT; Sukochev F, 2018, 'Weak Type Estimates for the Noncommutative Vilenkin–Fourier Series', Integral Equations and Operator Theory, 90, http://dx.doi.org/10.1007/s00020-018-2489-8
    Journal articles | 2018
    Sukochev F; Veksler A, 2018, 'Positive Linear Isometries in Symmetric Operator Spaces', Integral Equations and Operator Theory, 90, http://dx.doi.org/10.1007/s00020-018-2483-1
    Journal articles | 2018
    Sukochev F; Zanin D, 2018, 'Ac*-Algebraicapproach Totheprincipalsymbol. I', Journal of Operator Theory, 80, pp. 481 - 522, http://dx.doi.org/10.7900/jot.2017nov02.2176
    Journal articles | 2018
    Sukochev F; Zanin D, 2018, 'Connes Integration Formula for the Noncommutative Plane', Communications in Mathematical Physics, 359, pp. 449 - 466, http://dx.doi.org/10.1007/s00220-017-3008-5
    Journal articles | 2017
    Alekhno E; Semenov E; Sukochev F; Usachev A, 2017, 'Order and geometric properties of the set of banach limits', St. Petersburg Mathematical Journal, 28, pp. 299 - 321, http://dx.doi.org/10.1090/spmj/1452
    Journal articles | 2017
    Alekhno EA; Semenov EM; Sukochev FA; Usachev AS, 2017, 'Banach limits: Invariance and functional characteristics', Doklady Mathematics, 96, pp. 305 - 307, http://dx.doi.org/10.1134/S1064562417040019
    Journal articles | 2017
    Ber A; Huang J; Levitina G; Sukochev F, 2017, 'Derivations with values in ideals of semifinite von Neumann algebras', Journal of Functional Analysis, 272, pp. 4984 - 4997, http://dx.doi.org/10.1016/j.jfa.2017.02.010
    Journal articles | 2017
    Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2017, 'On the Witten index in terms of spectral shift functions', Journal d'Analyse Mathematique, 132, pp. 1 - 61, http://dx.doi.org/10.1007/s11854-017-0003-x
    Journal articles | 2017
    Chilin V; Sukochev F, 2017, 'Blum–Hanson type ergodic theorems in noncommutative symmetric spaces', Journal of Functional Analysis, 273, pp. 329 - 351, http://dx.doi.org/10.1016/j.jfa.2017.03.011
    Journal articles | 2017
    Connes A; Sukochev FA; Zanin DV, 2017, 'Trace theorem for quasi-fuchsian groups', Sbornik Mathematics, 208, pp. 1473 - 1502, http://dx.doi.org/10.1070/SM8794
    Journal articles | 2017
    Dykema K; Sukochev F; Zanin D, 2017, 'An upper triangular decomposition theorem for some unbounded operators affiliated to II1-factors', Israel Journal of Mathematics, 222, pp. 645 - 709, http://dx.doi.org/10.1007/s11856-017-1603-y
    Journal articles | 2017
    Dykema K; Sukochev F; Zanin D, 2017, 'Determinants associated to traces on operator bimodules', Journal of Operator Theory, 78, pp. 119 - 134, http://dx.doi.org/10.7900/jot.2016may31.2123
    Journal articles | 2017
    Huang J; Levitina G; Sukochev F, 2017, 'Completeness of symmetric Δ-normed spaces of τ-measurable operators', Studia Mathematica, 237, pp. 201 - 219, http://dx.doi.org/10.4064/sm8349-10-2016
    Journal articles | 2017
    Jiao Y; Sukochev F; Zanin D; Zhou D, 2017, 'Johnson–Schechtman inequalities for noncommutative martingales', Journal of Functional Analysis, 272, pp. 976, http://dx.doi.org/10.1016/j.jfa.2016.11.002
    Journal articles | 2017
    Junge M; Sukochev F; Zanin D, 2017, 'Embeddings of operator ideals into Lp-spaces on finite von Neumann algebras', Advances in Mathematics, 312, pp. 473 - 546, http://dx.doi.org/10.1016/j.aim.2017.03.031
    Journal articles | 2017
    Lord S; McDonald E; Sukochev F; Zanin D, 2017, 'Quantum differentiability of essentially bounded functions on Euclidean space', Journal of Functional Analysis, 273, pp. 2353 - 2387, http://dx.doi.org/10.1016/j.jfa.2017.06.020
    Journal articles | 2017
    Potapov D; Skripka A; Sukochev F; Tomskova A, 2017, 'Multilinear Schur multipliers and Schatten properties of operator Taylor remainders', Advances in Mathematics, 320, pp. 1063 - 1098, http://dx.doi.org/10.1016/j.aim.2017.09.012
    Journal articles | 2017
    Sukochev F; Tulenov K; Zanin D, 2017, 'Nehari-Type Theorem for Non-commutative Hardy Spaces', Journal of Geometric Analysis, 27, pp. 1789 - 1802, http://dx.doi.org/10.1007/s12220-016-9740-9
    Journal articles | 2017
    Sukochev F; Usachev A; Zanin D, 2017, 'Singular traces and residues of the ζ-function', Indiana University Mathematics Journal, 66, pp. 1107 - 1144, http://dx.doi.org/10.1512/iumj.2017.66.6106
    Journal articles | 2017
    Sukochev F; Veksler A, 2017, 'Mean ergodic theorem in symmetric spaces', Comptes Rendus Mathematique, 355, pp. 559 - 562, http://dx.doi.org/10.1016/j.crma.2017.03.014
    Journal articles | 2017
    Sukochev F; Zanin D, 2017, 'Fubini theorem in noncommutative geometry', Journal of Functional Analysis, 272, pp. 1230, http://dx.doi.org/10.1016/j.jfa.2016.10.016
    Journal articles | 2017
    de Pagter B; Dodds PG; Sukochev FA, 2017, 'On weak* convergent sequences in duals of symmetric spaces of τ-measurable operators', Israel Journal of Mathematics, 222, pp. 125 - 164, http://dx.doi.org/10.1007/s11856-017-1585-9
    Journal articles | 2017
    Алехно Е; Семенов Е; Сукочев Ф; Усачев А, 2017, 'БАНАХОВЫ ПРЕДЕЛЫ: ИНВАРИАНТНОСТЬ И ФУНКЦИОНАЛЬНЫЕ ХАРАКТЕРИСТИКИ', Доклады Академии наук, pp. 7 - 7, http://dx.doi.org/10.7868/s086956521719001x
    Journal articles | 2016
    Alekhno E; Semenov E; Sukochev F; Usachev A, 2016, 'On the structure of invariant Banach limits', Comptes Rendus Mathematique, 354, pp. 1195 - 1199, http://dx.doi.org/10.1016/j.crma.2016.10.007
    Journal articles | 2016
    Astashkin SV; Sukochev FA, 2016, 'Randomized Operators on n× n Matrices and Applications', Integral Equations and Operator Theory, 86, pp. 333 - 358, http://dx.doi.org/10.1007/s00020-016-2322-1
    Journal articles | 2016
    Aubrun G; Sukochev F; Zanin D, 2016, 'Catalysis in the trace class and weak trace class ideals', Proceedings of the American Mathematical Society, 144, pp. 2461 - 2471, http://dx.doi.org/10.1090/proc/12889
    Journal articles | 2016
    Ayre PJ; Cowling MG; Sukochev FA, 2016, 'Operator Lipschitz estimates in the unitary setting', Proceedings of the American Mathematical Society, 144, pp. 1053 - 1057, http://dx.doi.org/10.1090/proc/12833
    Journal articles | 2016
    Carey A; Gesztesy F; Grosse H; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, 'Trace formulas for a class of non-Fredholm operators: A review', Reviews in Mathematical Physics, 28, http://dx.doi.org/10.1142/S0129055X16300028
    Journal articles | 2016
    Carey A; Gesztesy F; Levitina G; Nichols R; Potapov D; Sukochev F, 2016, 'Double operator integral methods applied to continuity of spectral shift functions', Journal of Spectral Theory, 6, pp. 747 - 779, http://dx.doi.org/10.4171/JST/140
    Journal articles | 2016
    Carey A; Gesztesy F; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, 'On index theory for non-Fredholm operators: A (1 + 1)-dimensional example', Mathematische Nachrichten, 289, pp. 575 - 609, http://dx.doi.org/10.1002/mana.201500065
    Journal articles | 2016
    Carey A; Gesztesy F; Levitina G; Sukochev F, 2016, 'On the index of a non-Fredholm model operator', Operators and Matrices, 10, pp. 881 - 914, http://dx.doi.org/10.7153/oam-10-50
    Journal articles | 2016
    Carey AL; Rennie A; Sukochev F; Zanin D, 2016, 'Universal measurability and the Hochschild class of the Chern character', Journal of Spectral Theory, 6, pp. 1 - 41, http://dx.doi.org/10.4171/JST/116
    Journal articles | 2016
    Coine C; Le Merdy C; Potapov D; Sukochev F; Tomskova A, 2016, 'Peller's problem concerning Koplienko–Neidhardt trace formulae: the unitary case', Journal of Functional Analysis, 271, pp. 1747 - 1763, http://dx.doi.org/10.1016/j.jfa.2016.05.015
    Journal articles | 2016
    Coine C; Le Merdy C; Potapov D; Sukochev F; Tomskova A, 2016, 'Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae', Proceedings of the London Mathematical Society, 113, pp. 113 - 139, http://dx.doi.org/10.1112/plms/pdw024
    Journal articles | 2016
    Dodds PG; De Pagter B; Sukochev F, 2016, 'Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators', Transactions of the American Mathematical Society, 368, pp. 4315 - 4355, http://dx.doi.org/10.1090/tran/6477
    Journal articles | 2016
    Dykema K; Noles J; Sukochev F; Zanin D, 2016, 'On reduction theory and Brown measure for closed unbounded operators', Journal of Functional Analysis, 271, pp. 3403 - 3422, http://dx.doi.org/10.1016/j.jfa.2016.09.015
    Journal articles | 2016
    Dykema K; Sukochev F; Zanin D, 2016, 'Algebras of Log-Integrable Functions and Operators', Complex Analysis and Operator Theory, 10, pp. 1775 - 1787, http://dx.doi.org/10.1007/s11785-016-0569-9
    Journal articles | 2016
    Jiao Y; Sukochev F; Xie G; Zanin D, 2016, 'Φ-moment inequalities for independent and freely independent random variables', Journal of Functional Analysis, 270, pp. 4558 - 4596, http://dx.doi.org/10.1016/j.jfa.2016.02.001
    Journal articles | 2016
    Jiao Y; Sukochev F; Zanin D, 2016, 'Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory', Journal of the London Mathematical Society, 94, pp. 113 - 140, http://dx.doi.org/10.1112/jlms/jdw024
    Journal articles | 2016
    Potapov D; Skripka A; Sukochev F, 2016, 'Functions of unitary operators: Derivatives and trace formulas', Journal of Functional Analysis, 270, pp. 2048 - 2072, http://dx.doi.org/10.1016/j.jfa.2016.01.001
    Journal articles | 2016
    Rozendaal J; Sukochev F; Tomskova A, 2016, 'Operator lipschitz functions on Banach spaces', Studia Mathematica, 232, pp. 57 - 92, http://dx.doi.org/10.4064/sm8499-3-2016
    Journal articles | 2016
    Sukochev F; Usachev A, 2016, 'Dixmier traces and non-commutative analysis', Journal of Geometry and Physics, 105, pp. 102 - 122, http://dx.doi.org/10.1016/j.geomphys.2016.03.010
    Journal articles | 2016
    Sukochev F, 2016, 'Hölder inequality for symmetric operator spaces and trace property of K-cycles', Bulletin of the London Mathematical Society, 48, pp. 637 - 647, http://dx.doi.org/10.1112/blms/bdw022
    Journal articles | 2016
    Usachev A; Sukochev F, 2016, 'Characterization of singular traces on the weak trace class ideal generated by exponentiation invariant extended limits', Commentationes Mathematicae, 55, http://dx.doi.org/10.14708/cm.v55i2.1102
    Journal articles | 2015
    Alekhno EA; Semenov EM; Sukochev FA; Usachev AS, 2015, 'Order properties of the set of Banach limits', Doklady Mathematics, 91, pp. 20 - 22, http://dx.doi.org/10.1134/S1064562415010068
    Journal articles | 2015
    Astashkin S; Sukochev F; Zanin D, 2015, 'On uniqueness of distribution of a random variable whose independent copies span a subspace in Lp', Studia Mathematica, 230, pp. 41 - 57, http://dx.doi.org/10.4064/sm8089-1-2016
    Journal articles | 2015
    Carey AL; Gayral V; Phillips J; Rennie A; Sukochev FA, 2015, 'Spectral flow for nonunital spectral triples', Canadian Journal of Mathematics, 67, pp. 759 - 794, http://dx.doi.org/10.4153/CJM-2014-042-x
    Journal articles | 2015
    Caspers M; Potapov D; Sukochev F; Zanin D, 2015, 'Weak type estimates for the absolute value mapping', Journal of Operator Theory, 73, pp. 361 - 384, http://dx.doi.org/10.7900/jot.2013dec20.2021
    Journal articles | 2015
    Dykema K; Sukochev F; Zanin D, 2015, 'A decomposition theorem in II1-factors', Journal fur die Reine und Angewandte Mathematik, 2015, pp. 97 - 114, http://dx.doi.org/10.1515/crelle-2013-0084
    Journal articles | 2015
    Dykema K; Sukochev F; Zanin D, 2015, 'Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras', Illinois Journal of Mathematics, 59, pp. 819 - 824, http://dx.doi.org/10.1215/ijm/1475266410
    Journal articles | 2015
    Potapov D; Skripka A; Sukochev F, 2015, 'Trace formulas for resolvent comparable operators', Advances in Mathematics, 272, pp. 630 - 651, http://dx.doi.org/10.1016/j.aim.2014.12.016
    Journal articles | 2015
    Potapov D; Sukochev F; Tomskova A, 2015, 'On the Arazy conjecture concerning Schur multipliers on Schatten ideals', Advances in Mathematics, 268, pp. 404 - 422, http://dx.doi.org/10.1016/j.aim.2014.09.021
    Journal articles | 2015
    Potapov D; Sukochev F; Usachev A; Zanin D, 2015, 'Singular traces and perturbation formulae of higher order', Journal of Functional Analysis, 269, pp. 1441 - 1481, http://dx.doi.org/10.1016/j.jfa.2015.04.019
    Journal articles | 2015
    Sedaev AA; Semenov EM; Sukochev FA, 2015, 'Fully symmetric function spaces without an equivalent Fatou norm', Positivity, 19, pp. 419 - 437, http://dx.doi.org/10.1007/s11117-014-0305-5
    Journal articles | 2015
    Semenov E; Sukochev F; Usachev A; Zanin D, 2015, 'Banach limits and traces on L1,∞', Advances in Mathematics, 285, pp. 568 - 628, http://dx.doi.org/10.1016/j.aim.2015.08.010
    Journal articles | 2015
    Алехно ЕА; Семенов ЕМ; Сукочев ФА; Усачев АС, 2015, 'Порядковые свойства множества банаховых пределов', Доклады Академии наук, 460, pp. 131 - 132, http://dx.doi.org/10.7868/s0869565215020036
    Journal articles | 2014
    Astashkin S; Sukochev FA; Zanin D, 2014, 'Disjointification inequalities in symmetric quasi-banach spaces and their applications', Pacific Journal of Mathematics, 270, pp. 257 - 285, http://dx.doi.org/10.2140/pjm.2014.270.257
    Journal articles | 2014
    Astashkin SV; Sukochev FA, 2014, 'Orlicz sequence spaces spanned by identically distributed independent random variables in Lp-spaces', Journal of Mathematical Analysis and Applications, 413, pp. 1 - 19, http://dx.doi.org/10.1016/j.jmaa.2013.11.023
    Journal articles | 2014
    Ber AF; Chilin VI; Sukochev FA, 2014, 'Continuous derivations on algebras of locally measurable operators are inner', Proceedings of the London Mathematical Society, 109, pp. 65 - 89, http://dx.doi.org/10.1112/plms/pdt070
    Journal articles | 2014
    Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, 'A Jost-Pais-Type Reduction of Fredholm Determinants and Some Applications', Integral Equations and Operator Theory, 79, pp. 389 - 447, http://dx.doi.org/10.1007/s00020-014-2150-0
    Journal articles | 2014
    Carey AL; Gayral V; Rennie A; Sukochev FA, 2014, 'Index theory for locally compact noncommutative geometries', Memoirs of the American Mathematical Society, 231, pp. 1 - 142, http://dx.doi.org/10.1090/memo/1085
    Journal articles | 2014
    Caspers M; Montgomery-Smith S; Potapov D; Sukochev F, 2014, 'The best constants for operator Lipschitz functions on Schatten classes', Journal of Functional Analysis, 267, pp. 3557 - 3579, http://dx.doi.org/10.1016/j.jfa.2014.08.018
    Journal articles | 2014
    Dodds PG; Dodds TK; Sukochev FA, 2014, 'On p-Convexity and q-Concavity in Non-Commutative Symmetric Spaces', Integral Equations and Operator Theory, 78, pp. 91 - 114, http://dx.doi.org/10.1007/s00020-013-2082-0
    Journal articles | 2014
    Gayral V; Sukochev F, 2014, 'Dixmier traces and extrapolation description of noncommutative Lorentz spaces', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2014.02.036
    Journal articles | 2014
    Gayral V; Sukochev F, 2014, 'Dixmier traces and extrapolation description of noncommutative Lorentz spaces', Journal of Functional Analysis, 266, pp. 6256 - 6317, http://dx.doi.org/10.1016/j.jfa.2014.02.036
    Journal articles | 2014
    Levitina G; Pietsch A; Sukochev FA; Zanin D, 2014, 'Completeness of quasi-normed operator ideals generated by s-numbers', Indagationes Mathematicae, 25, pp. 49 - 58, http://dx.doi.org/10.1016/j.indag.2013.07.005
    Journal articles | 2014
    Potapov D; Skripka A; Sukochev F, 2014, 'Functions of unitary operators: Derivatives and trace formulas', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2016.01.001
    Journal articles | 2014
    Potapov D; Skripka A; Sukochev F, 2014, 'Higher-order spectral shift for contractions', Proceedings of the London Mathematical Society, 108, pp. 327 - 349, http://dx.doi.org/10.1112/plms/pdt024
    Journal articles | 2014
    Potapov D; Sukochev F; Tomskova A; Zanin D, 2014, 'Fréchet differentiability of the norm of Lp-spaces associated with arbitrary von Neumann algebras', Comptes Rendus Mathematique, 352, pp. 923 - 927, http://dx.doi.org/10.1016/j.crma.2014.09.017
    Journal articles | 2014
    Potapov D; Sukochev F; Zanin D, 2014, 'Krein's trace theorem revisited', Journal of Spectral Theory, 4, pp. 415 - 430, http://dx.doi.org/10.4171/JST/75
    Journal articles | 2014
    Potapov D; Sukochev F, 2014, 'Fréchet differentiability of Sp norms', Advances in Mathematics, 262, pp. 436 - 475, http://dx.doi.org/10.1016/j.aim.2014.05.011
    Journal articles | 2014
    Semenov EM; Sukochev FA; Usachev AS, 2014, 'Geometric properties of the set of Banach limits', Izvestiya Mathematics, 78, pp. 596 - 620, http://dx.doi.org/10.1070/IM2014v078n03ABEH002700
    Journal articles | 2014
    Semenov EM; Sukochev FA, 2014, 'Sums and intersections of symmetric operator spaces', Journal of Mathematical Analysis and Applications, 414, pp. 742 - 755, http://dx.doi.org/10.1016/j.jmaa.2013.12.039
    Journal articles | 2014
    Sukochev F; Usachev A; Zanin D, 2014, 'Dixmier traces generated by exponentiation invariant generalised limits', Journal of Noncommutative Geometry, 8, pp. 321 - 336, http://dx.doi.org/10.4171/JNCG/158
    Journal articles | 2014
    Sukochev F; Zanin D, 2014, 'Dixmier traces are weak* dense in the set of all fully symmetric traces', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2014.03.001
    Journal articles | 2014
    Sukochev F; Zanin D, 2014, 'Dixmier traces are weak* dense in the set of all fully symmetric traces', Journal of Functional Analysis, 266, pp. 6158 - 6173, http://dx.doi.org/10.1016/j.jfa.2014.03.001
    Journal articles | 2014
    Sukochev F; Zanin D, 2014, 'Which traces are spectral?', Advances in Mathematics, 252, pp. 406 - 428, http://dx.doi.org/10.1016/j.aim.2013.10.028
    Journal articles | 2014
    Sukochev F, 2014, 'Completeness of quasi-normed symmetric operator spaces', Indagationes Mathematicae, 25, pp. 376 - 388, http://dx.doi.org/10.1016/j.indag.2012.05.007
    Journal articles | 2013
    Astashkin SV; Sukochev F; Wong CP, 2013, 'Distributionally concave symmetric spaces and uniqueness of symmetric structure', Advances in Mathematics, 232, pp. 399 - 431, http://dx.doi.org/10.1016/j.aim.2012.08.013
    Journal articles | 2013
    Ber A; Chilin V; Sukochev F, 2013, 'Continuity of derivations of algebras of locally measurable operators', Integral Equations and Operator Theory, 75, pp. 527 - 557, http://dx.doi.org/10.1007/s00020-013-2039-3
    Journal articles | 2013
    Ber AF; Sukochev FA, 2013, 'Commutator estimates in von Neumann algebras', Functional Analysis and its Applications, 47, pp. 62 - 63, http://dx.doi.org/10.1007/s10688-013-0007-y
    Journal articles | 2013
    Caspers ; Potapov D; Sukochev F, 2013, 'The Walsh basis in the Lp-spaces of hyperfinite IIIλ factors, 0', Journal of Mathematical Analysis and Applications, 408, pp. 154 - 164, http://dx.doi.org/10.1016/j.jmaa.2013.06.003
    Journal articles | 2013
    Flint GH; De Pagter B; Sukochev FA, 2013, 'The Dixmier approximation theorem in algebras of measurable operators', Proceedings of the American Mathematical Society, 141, pp. 909 - 918, http://dx.doi.org/10.1090/S0002-9939-2012-11479-0
    Journal articles | 2013
    Kalton N; Lord S; Potapov D; Sukochev F, 2013, 'Traces of compact operators and the noncommutative residue', Advances in Mathematics, 235, pp. 1 - 55, http://dx.doi.org/10.1016/j.aim.2012.11.007
    Journal articles | 2013
    Potapov D; Skripka A; Sukochev F, 2013, 'On Hilbert-Schmidt compatibility', Operators and Matrices, 7, pp. 1 - 33, http://dx.doi.org/10.7153/oam-07-01
    Journal articles | 2013
    Potapov D; Skripka A; Sukochev F, 2013, 'Spectral shift function of higher order', Inventiones Mathematicae, 193, pp. 501 - 538, http://dx.doi.org/10.1007/s00222-012-0431-2
    Journal articles | 2013
    Sedaev AA; Sukochev FA, 2013, 'Dixmier measurability in Marcinkiewicz spaces and applications', Journal of Functional Analysis, 265, pp. 3053 - 3066, http://dx.doi.org/10.1016/j.jfa.2013.08.014
    Journal articles | 2013
    Semenov E; Sukochev F, 2013, 'Extreme points of the set of Banach limits', Positivity, 17, pp. 163 - 170, http://dx.doi.org/10.1007/s11117-011-0155-3
    Journal articles | 2013
    Semenov EM; Sukochev FA, 2013, 'Function spaces with extremal properties', Doklady Mathematics, 87, pp. 175 - 177, http://dx.doi.org/10.1134/S1064562413020142
    Journal articles | 2013
    Sukochev F; Tomskova A, 2013, '(E, F)-Schur multipliers and applications', Studia Mathematica, 216, pp. 111 - 129, http://dx.doi.org/10.4064/sm216-2-2
    Journal articles | 2013
    Sukochev F; Usachev A; Zanin D, 2013, 'Generalized limits with additional invariance properties and their applications to noncommutative geometry', Advances in Mathematics, 239, pp. 164 - 189, http://dx.doi.org/10.1016/j.aim.2013.02.012
    Journal articles | 2013
    Sukochev F; Usachev A; Zanin D, 2013, 'On the distinction between the classes of Dixmier and Connes-Dixmier traces', Proceedings of the American Mathematical Society, 141, pp. 2169 - 2179, http://dx.doi.org/10.1090/S0002-9939-2012-11853-2
    Journal articles | 2013
    Sukochev F; Zanin D, 2013, 'Traces on symmetrically normed operator ideals', Journal fur die Reine und Angewandte Mathematik, pp. 163 - 200, http://dx.doi.org/10.1515/crelle.2012.028
    Journal articles | 2012
    Ber A; Sukochev F, 2012, 'Commutator estimates in W *-algebras', Journal of Functional Analysis, 262, pp. 537 - 568, http://dx.doi.org/10.1016/j.jfa.2011.09.018
    Journal articles | 2012
    Ber A; Sukochev F, 2012, 'Commutator estimates in W*-factors', Transactions of the American Mathematical Society, 364, pp. 5571 - 5587, http://dx.doi.org/10.1090/S0002-9947-2012-05568-1
    Journal articles | 2012
    Ber AF; Chilin VI; Levitina GB; Sukochev FA, 2012, 'Derivations on symmetric quasi-Banach ideals of compact operators', Journal of Mathematical Analysis and Applications, 397, pp. 628 - 643, http://dx.doi.org/10.1016/j.jmaa.2012.07.068
    Journal articles | 2012
    Carey AL; Gayral V; Rennie A; Sukochev F, 2012, 'Integration on locally compact noncommutative spaces', Journal of Functional Analysis, 263, pp. 383 - 414, http://dx.doi.org/10.1016/j.jfa.2012.04.015
    Journal articles | 2012
    Gesztesy F; Gomilko A; Sukochev F; Tomilov Y, 2012, 'On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space', Israel Journal of Mathematics, 188, pp. 195 - 219, http://dx.doi.org/10.1007/s11856-011-0120-7
    Journal articles | 2012
    Potapov D; Sukochev F; Xu Q, 2012, 'On the vector-valued Littlewood-Paley-Rubio de Francia inequality', Revista Matematica Iberoamericana, 28, pp. 839 - 856, http://dx.doi.org/10.4171/RMI/693
    Journal articles | 2012
    Potapov D; Sukochev F, 2012, 'Koplienko Spectral Shift Function on the Unit Circle', Communications in Mathematical Physics, 309, pp. 693 - 702, http://dx.doi.org/10.1007/s00220-011-1338-2
    Journal articles | 2012
    Sukochev F; Carey AL, 2012, 'Measurable operators and the asymptotics of heat kernels and zeta functions', Journal of Functional Analysis, 262, pp. 4582 - 4599, http://dx.doi.org/10.1016/j.jfa.2012.03.008
    Journal articles | 2012
    Sukochev F; Tomskova AA, 2012, 'Schur multipliers associated with symmetric sequence spaces', Mathematical Notes, 92, pp. 830 - 833, http://dx.doi.org/10.1134/S0001434612110284
    Journal articles | 2012
    Sukochev F; Zanin DV, 2012, 'Johnson-Schectman inequalities in the free probability theory', Journal of Functional Analysis, 263, pp. 2921 - 2948, http://dx.doi.org/10.1016/j.jfa.2012.07.012
    Journal articles | 2012
    Sukochev F, 2012, 'On the A. M. Bikchentaev conjecture', Russian Mathematics, 56, pp. 57 - 59, http://dx.doi.org/10.3103/S1066369X12060084
    Journal articles | 2011
    Aleksandrov A; Peller V; Potapov D; Sukochev F, 2011, 'Functions of normal operators under perturbations', Advances in Mathematics, 226, pp. 5216 - 5251, http://dx.doi.org/10.1016/j.aim.2011.01.008
    Journal articles | 2011
    Astashkin S; Sukochev F; Wong C, 2011, 'Disjointification of martingale differences and conditionally independent random variables with some applications', Studia Mathematica, 205, pp. 171 - 200, http://dx.doi.org/10.4064/sm205-2-3
    Journal articles | 2011
    Astashkin S; Sukochev F, 2011, 'Symmetric quasi-norms of sums of independent random variables in symmetric function spaces with the Kruglov property', Israel Journal of Mathematics, 184, pp. 455 - 476, http://dx.doi.org/10.1007/s11856-011-0076-7
    Journal articles | 2011
    Ber AF; De pagter B; Sukochev F, 2011, 'Derivations in algebras of operator-valued functions', Journal of Operator Theory, 66, pp. 261 - 300
    Journal articles | 2011
    Dirksen S; De Pagter B; Potapov D; Sukochev F, 2011, 'Rosenthal inequalities in noncommutative symmetric spaces', Journal of Functional Analysis, 261, pp. 2890 - 2925, http://dx.doi.org/10.1016/j.jfa.2011.07.015
    Journal articles | 2011
    Gesztesy F; Latushkin YD; Makarov KA; Sukochev F; Tomilov Y, 2011, 'The index formula and the spectral shift function for relatively trace class perturbations', Advances in Mathematics, 227, pp. 319 - 420, http://dx.doi.org/10.1016/j.aim.2011.01.022
    Journal articles | 2011
    Kalton N; Sedaev A; Sukochev F, 2011, 'Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces', Advances in Mathematics, 226, pp. 3540 - 3549, http://dx.doi.org/10.1016/j.aim.2010.09.025
    Journal articles | 2011
    Kissin E; Potapov D; Shulman V; Sukochev F, 2011, 'Lipschitz functions, Schatten ideals, and unbounded derivations', Functional Analysis and Its Applications, 45, pp. 157 - 159, http://dx.doi.org/10.1007/s10688-011-0018-5
    Journal articles | 2011
    Lord S; Sukochev FA, 2011, 'Noncommutative residues and a characterisation of the noncommutative integral', Proceedings of the American Mathematical Society, 139, pp. 243 - 243, http://dx.doi.org/10.1090/S0002-9939-2010-10472-0
    Journal articles | 2011
    Potapov D; Sukochev F, 2011, 'Operator-Lipschitz functions in Schatten-von Neumann classes', ACTA Mathematica, 207, pp. 375 - 389, http://dx.doi.org/10.1007/s11511-012-0072-8
    Journal articles | 2011
    Potapov D; Sukochev F, 2011, 'The Haar system in the preduals of hyperfinite factors', Canadian Mathematical Bulletin, 54, pp. 347 - 363, http://dx.doi.org/10.4153/CMB-2011-007-7
    Journal articles | 2011
    Semenov EM; Sukochev FA; Usachev AS, 2011, 'Structure properties of the Banach limit set', Doklady Mathematics, 84, pp. 802 - 803, http://dx.doi.org/10.1134/S1064562411070155
    Journal articles | 2011
    Sukochev F; Zanin DV, 2011, 'ζ-function and heat kernel formulae', Journal of Functional Analysis, 260, pp. 2451 - 2482, http://dx.doi.org/10.1016/j.jfa.2010.10.007
    Journal articles | 2010
    Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, 'Functions of perturbed normal operators', Comptes Rendus Mathematique, 348, pp. 553 - 558, http://dx.doi.org/10.1016/j.crma.2010.04.015
    Journal articles | 2010
    Astashkin S; Sukochev F, 2010, 'Best constants in Rosenthal-type inequalities and the Kruglov operator', Annals of Probability, 38, pp. 1986 - 2008, http://dx.doi.org/10.1214/10-AOP529
    Journal articles | 2010
    Astashkin SV; Sukochev FA, 2010, 'Independent functions and the geometry of Banach spaces', Russian Mathematical Surveys, 65, pp. 1003 - 1081, http://dx.doi.org/10.1070/RM2010v065n06ABEH004715
    Journal articles | 2010
    Ber A; De pagter B; Sukochev F, 2010, 'Notes on derivations on algebras of measurable operators', Mathematical Notes, 87, pp. 502 - 513, http://dx.doi.org/10.1134/S0001434610030259
    Journal articles | 2010
    Kalton N; Sukochev F; Zanin DV, 2010, 'Orbits in symmetric spaces, II', Studia Mathematica, 197, pp. 257 - 274, http://dx.doi.org/10.4064/sm197-3-4
    Journal articles | 2010
    Lord S; Potapov D; Sukochev F, 2010, 'Measures from Dixmier traces and zeta functions', Journal of Functional Analysis, 259, pp. 1915 - 1949, http://dx.doi.org/10.1016/j.jfa.2010.06.012
    Journal articles | 2010
    Lord S; Sukochev F, 2010, 'Measure theory in noncommutative spaces', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6, http://dx.doi.org/10.3842/SIGMA.2010.072
    Journal articles | 2010
    Lord S, 2010, 'Measure Theory in Noncommutative Spaces', Symmetry, Integrability and Geometry: Methods and Applications, 6, http://dx.doi.org/10.3842/SIGMA.2010.072
    Journal articles | 2010
    Potapov D; Sukochev F, 2010, 'Double operator integrals and submajorization', Mathematical Modelling of Natural Phenomena (MMNP), 5, pp. 317 - 339, http://dx.doi.org/10.1051/mmnp/20105401
    Journal articles | 2010
    Sedaev A; Sukochev F; Zanin DV, 2010, 'Lidskii-Type Formulae for Dixmier Traces', Integral Equations and Operator Theory, 68, pp. 551 - 572, http://dx.doi.org/10.1007/s00020-010-1828-1
    Journal articles | 2010
    Semenov E; Sukochev F, 2010, 'Characteristic functions of Banach limits', Siberian Mathematical Journal, 51, pp. 723 - 727, http://dx.doi.org/10.1007/s11202-010-0073-9
    Journal articles | 2010
    Semenov E; Sukochev F, 2010, 'Invariant Banach limits and applications', Annals of Probability, 259, pp. 1517 - 1541, http://dx.doi.org/10.1016/j.jfa.2010.05.011
    Journal articles | 2009
    Astashkin S; Semenov E; Sukochev F, 2009, 'BANACH-SAKS TYPE PROPERTIES IN REARRANGEMENT-INVARIANT SPACES WITH THE KRUGLOV PROPERTY', Houston Journal of Mathematics, 35, pp. 959 - 973
    Journal articles | 2009
    Astashkin S; Zanin DV; Semenov E; Sukochev F, 2009, 'Kruglov operator and operators defined by random permutations', Functional Analysis and Its Applications, 43, pp. 83 - 95, http://dx.doi.org/10.1007/s10688-009-0013-2
    Journal articles | 2009
    Azamov N; Carey AL; Dodds P; Sukochev F, 2009, 'Operator integrals, spectral shift, and spectral flow', Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 61, pp. 241 - 263, http://dx.doi.org/10.4153/CJM-2009-012-0
    Journal articles | 2009
    Carey AL; Potapov D; Sukochev F, 2009, 'Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators', Advances in Mathematics, 222, pp. 1809 - 1849, http://dx.doi.org/10.1016/j.aim.2009.06.020
    Journal articles | 2009
    Potapov D; Sukochev F, 2009, 'Unbounded Fredholm modules and double operator integrals', Journal fur die Reine und Angewandte Mathematik, 2009, pp. 159 - 185, http://dx.doi.org/10.1515/CRELLE.2009.006
    Journal articles | 2009
    Potapov D; Sukochev F, 2009, 'Unbounded Fredholm modules and double operator integrals', Journal fur die Reine und Angewandte Mathematik, 626, pp. 159 - 185, http://dx.doi.org/10.15.15/CRELLE.2008
    Journal articles | 2009
    Sukochev F; Dodds PG, 2009, 'Submajorisation inequalities for convex and concave functions of sums of measurable operators', Positivity, 13, pp. 107 - 124, http://dx.doi.org/10.1007/s11117-008-2206-y
    Journal articles | 2009
    Sukochev F; Zanin DV, 2009, 'Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces', Studia Mathematica, 191, pp. 101 - 122, http://dx.doi.org/10.4064/sm191-2-1
    Journal articles | 2009
    Sukochev F; Zanin DV, 2009, 'Orbits in symmetric spaces', Journal of Functional Analysis, 257, pp. 194 - 218, http://dx.doi.org/10.1016/j.jfa.2009.01.025
    Journal articles | 2008
    Astashkin SV; Sukochev FA, 2008, 'Series of independent, mean zero random variables in rearrangement- invariant spaces having the Kruglov property', Journal of Mathematical Sciences, 148, pp. 795 - 809, http://dx.doi.org/10.1007/s10958-008-0026-z
    Journal articles | 2008
    Novikova AI; Semenov EM; Sukochev FA, 2008, 'Banach-Saks index in spaces with symmetric basis', Doklady Mathematics, 77, pp. 396 - 397, http://dx.doi.org/10.1134/S1064562408030204
    Journal articles | 2008
    Potapov D; Sukochev F, 2008, 'Lipschitz and commutator estimates in symmetric operator spaces', Journal of Operator Theory, 59, pp. 211 - 234
    Journal articles | 2008
    Sukochev F; Astashkin S; Kalton N, 2008, 'A Cesaro mean convergence of martingale differences in rearrangement nvariant spaces', Positivity, 12, pp. 387 - 406, http://dx.doi.org/10.1007/s11117-007-2146-y
    Journal articles | 2008
    Sukochev F; Azamov N, 2008, 'Spectral averaging for trace compatible operators', Proceedings of the American Mathematical Society, 136, pp. 1769 - 1778, http://dx.doi.org/10.1090/S0002-9939-08-09210-1
    Journal articles | 2008
    Sukochev F; Carey AL; Phillips J; Rennie A, 2008, 'The Chern character of semifinite spectral triples', Journal of Noncommutative Geometry, 2, pp. 141 - 193, http://dx.doi.org/10.4171/JNCG/18
    Journal articles | 2008
    Sukochev F; Kalton N, 2008, 'Rearrangement-invariant functionals with applications to traces on symmetrically', Canadian Mathematical Bulletin, 51, pp. 67 - 80, http://dx.doi.org/10.4153/CMB-2008-009-3
    Journal articles | 2008
    Sukochev F; Kalton N, 2008, 'Symmetric norms and spaces of operators', Journal fur die Reine und Angewandte Mathematik, 621, pp. 81 - 121, http://dx.doi.org/10.1515/CRELLE.2008.059
    Journal articles | 2008
    Sukochev F; Le merdy C, 2008, 'Rademacher averages on noncommutative symmetric spaces', Journal of Functional Analysis, 255, pp. 3329 - 3355, http://dx.doi.org/10.1016/j.jfa.2008.05.002
    Journal articles | 2008
    Sukochev F; Novikova A; Semenov E, 2008, 'The Banach-Saks index of spaces with a symmetric basis', Dokl. Akad. Nauk, 420, pp. 314 - 315
    Journal articles | 2007
    De Pagter B; Sukochev F, 2007, 'Commutator estimates and ℝ-flows in non-commutative operator spaces', Proceedings of the Edinburgh Mathematical Society, 50, pp. 293 - 324, http://dx.doi.org/10.1017/S0013091505000957
    Journal articles | 2007
    Potapov D; Sukochev F, 2007, 'Non-(quantum) differentiable C1-functions in the spaces with trivial Boyd indices', Integral Equations and Operator Theory, 57, pp. 247 - 261, http://dx.doi.org/10.1007/s00020-006-1468-7
    Journal articles | 2007
    Sukochev F; Astashkin S, 2007, 'Banach-Saks property in Marcinkiewicz spaces', Journal of Mathematical Analysis and Applications, 336, pp. 1231 - 1258, http://dx.doi.org/10.1016/j.jmaa.2007.03.040
    Journal articles | 2007
    Sukochev F; Azamov N; Carey AL, 2007, 'The spectral shift function and spectral flow', Communications in Mathematical Physics, 276, pp. 51 - 91, http://dx.doi.org/10.1007/s00220-007-0329-9
    Journal articles | 2007
    Sukochev F; Carey AL; Rennie A; Sedaev A, 2007, 'The Dixmier trace and asymptotics of zeta functions', Journal of Functional Analysis, 249, pp. 253 - 283, http://dx.doi.org/10.1016/j.jfa.2007.04.011
    Journal articles | 2007
    Sukochev F; De pagter B, 2007, 'Commutator estimates and R-flows in non-commutative operator spaces', Proceedings of the Edinburgh Mathematical Society, 50, pp. 247 - 261
    Journal articles | 2007
    Sukochev F; Dodds P; Dodds T, 2007, 'Banach-Saks properties in symmetric spaces of measurable operators', Studia Mathematica, 178, pp. 125 - 166, http://dx.doi.org/10.4064/sm178-2-2
    Journal articles | 2007
    Sukochev F; Piquard F, 2007, 'The p-Banach-Saks property in symmetric operator spaces', Illinois Journal of Mathematics, 51, pp. 1207 - 1229
    Journal articles | 2007
    Sukochev F; Veselova L; Tikhonov O, 2007, 'Interpolation of positive operators', Mathematical Notes, 81, pp. 37 - 50, http://dx.doi.org/10.1134/S000143460701004X
    Journal articles | 2006
    Astashkin SV; Sukochev FA, 2006, 'Sums of independent functions in symmetric spaces with the Kruglov property', Mathematical Notes, 80, pp. 593 - 598, http://dx.doi.org/10.1007/s11006-006-0179-3
    Journal articles | 2006
    Carey AL; Sukochev FA, 2006, 'Dixmier traces and some applications in non-commutative geometry', Russian Mathematical Surveys, 61, pp. 1039 - 1099, http://dx.doi.org/10.1070/RM2006v061n06ABEH004369
    Journal articles | 2006
    Sukochev F; Astashkin S, 2006, 'Sums of independent functions in symmetric spaces with the Kruglov property,', Mathematical Notes, 80, pp. 630 - 635
    Journal articles | 2006
    Sukochev F; Azamov N; Dodds P, 2006, 'The Krein spectral shift function in semifinite von Neumann algebras', Integral Equations and Operator Theory, 55, pp. 347 - 362, http://dx.doi.org/10.1007/s00020-006-1441-5
    Journal articles | 2006
    Sukochev F; Ber A; Chilin V, 2006, 'Non-trivial derivations on commutative regular algebras', Extracta Mathematicae, 21, pp. 107 - 147
    Journal articles | 2006
    Sukochev F; Carey AL; Phillips J; Rennie A, 2006, 'The local index formula in semifinite von Neumann algebras I: Spectral flow', Advances in Mathematics, 202, pp. 451 - 516, http://dx.doi.org/10.1016/j.aim.2005.03.011
    Journal articles | 2006
    Sukochev F; Carey AL; Rennie A, 2006, 'The local index formula in semifinite von Neumann algebras II: The even case', Advances in Mathematics, 202, pp. 517 - 554, http://dx.doi.org/10.1016/j.aim.2005.03.010
    Journal articles | 2006
    Sukochev F; Carey AL, 2006, 'Dixmier traces and some applications in noncommutative geometry', Russian Mathematical Surveys, 61, pp. 45 - 110
    Journal articles | 2006
    Sukochev F; Pelczynski A, 2006, 'Some remarks on Toeplitz multipliers and Hankel matrices', Studia Mathematica, 175, pp. 175 - 204, http://dx.doi.org/10.4064/sm175-2-5
    Journal articles | 2006
    Sukochev F; Semenov E, 2006, 'Estimates for a quadratic function and the Banach-Saks p-property', St Petersburg Mathematical Journal, 18, pp. 647 - 656
    Journal articles | 2005
    Dodds PG; Dodds TK; Sukochev FA; Tikhonov OY, 2005, 'A non-commutative Yosida-Hewitt theorem and convex sets of measurable operators closed locally in measure', Positivity, 9, pp. 457 - 484, http://dx.doi.org/10.1007/s11117-005-1384-0
    Journal articles | 2005
    Lord S; Sedaev A; Sukochev F, 2005, 'Dixmier traces as singular symmetric functionals and applications to measurable operators', Journal of Functional Analysis, 224, pp. 72 - 106, http://dx.doi.org/10.1016/j.jfa.2005.01.002
    Journal articles | 2005
    Potapov D; Sukochev F, 2005, 'A vector-valued Littlewood-Paley theorem for arbitrary intervals and its applications', Doklady Mathematics, 72, pp. 752 - 754
    Journal articles | 2005
    Sukochev F; Astashkin S; Semenov E, 2005, 'The Banach-Saks p-property', Mathematische Annalen, 332, pp. 879 - 900, http://dx.doi.org/10.1007/s00208-005-0658-y
    Journal articles | 2005
    Sukochev F; Astashkin S, 2005, 'Series of independent random variables in rearrangement invariant spaces: an operator approach', Israel Journal of Mathematics, 145, pp. 125 - 156, http://dx.doi.org/10.1007/BF02786688
    Journal articles | 2005
    Sukochev F; Azamov N, 2005, 'A Lidskii type formula for Dixmier traces', Comptes Rendus Mathematique, 340, pp. 107 - 112
    Journal articles | 2005
    Sukochev F; Azamov N, 2005, 'A Lidskii type formula for Dixmier traces', Comptes Rendus Mathematique, 340, pp. 107 - 112
    Journal articles | 2005
    Sukochev F; Dodds P; Dodds T; Tikhonov O, 2005, 'A non-commutative Yosida-Hewitt theorem and convex sets of measurable elements', Positivity, 9, pp. 457 - 484
    Journal articles | 2005
    Sukochev F; Potapov D, 2005, 'A vector-valued Littlewood-Paley theorem for an arbitrary set of intervals and its applications', Comptes Rendus de l`Academie des Sciences de L Urss, 404, pp. 598 - 600
    Journal articles | 2005
    Sukochev F; Sedaev A; Lord S, 2005, 'Connes-Dixmier traces, singular symmetric functionals, and the concept of Connes-measurable elements', Mathematical Notes, 77, pp. 671 - 676, http://dx.doi.org/10.1007/s11006-005-0067-2
    Journal articles | 2005
    Sukochev F; Van ackooij W; De pagter B, 2005, 'Domains of infinitesimal generators of automorphism flows', Journal of Functional Analysis, 218, pp. 409 - 424, http://dx.doi.org/10.1016/j.jfa.2004.05.004
    Journal articles | 2004
    Astashkin SV; Sukochev FA, 2004, 'Comparison of sums of independent and disjoint functions in symmetric spaces', Mathematical Notes, 76, pp. 449 - 454, http://dx.doi.org/10.1023/B:MATN.0000043474.00734.ec
    Journal articles | 2004
    Ber AF; Sukochev FA; Chilin VI, 2004, 'Derivations in commutative regular algebras', Mathematical Notes, 75, pp. 418 - 419, http://dx.doi.org/10.1023/b:matn.0000023321.64184.5a
    Journal articles | 2004
    Lord S; Sedaev AA; Sukochev FA, 2004, 'Connes-dixmier traces, singular symmetric functionals, and measurable elements in the sense of connes', Mathematical Notes, 76, pp. 884 - 889, http://dx.doi.org/10.1023/B:MATN.0000049689.71141.8b
    Journal articles | 2004
    Lord S; Sukochev F; Sedaev A, 2004, 'Connes-Dixmier traces, singular symmetric functionals, and measurable elements in the sense of Connes', Matematicheskie Zametki, 76, pp. 948 - 953
    Journal articles | 2004
    Semënov EM; Sukochev FA, 2004, 'The Banach-Saks index', Sbornik Mathematics, 195, pp. 263 - 285, http://dx.doi.org/10.1070/sm2004v195n02abeh000802
    Journal articles | 2004
    Sukochev F; Astashkin S, 2004, 'Comparison of sums of independent and disjoint functions in symmetric', Matematicheskie Zametki, 76, pp. 483 - 489
    Journal articles | 2004
    Sukochev F; Ber A; Chilin V, 2004, 'Derivations in commutative regular algebras', Matematicheskie Zametki, 75, pp. 453 - 454
    Journal articles | 2004
    Sukochev F; Carey AL; Phillips J; Rennie A, 2004, 'The Hochschild class of the Chern character for semifinite spectral triples,', Journal of Functional Analysis, 213, pp. 111 - 153, http://dx.doi.org/10.1016/j.jfa.2003.11.016
    Journal articles | 2004
    Sukochev F; De pagter B, 2004, 'Differentiation of operator functions in non-commutative Lp-spaces', Journal of Functional Analysis, 212, pp. 28 - 75, http://dx.doi.org/10.1016/j.jfa.2003.10.009
    Journal articles | 2004
    Sukochev F; Dodds P; Dodds T; Sedaev A, 2004, 'Local uniform convexity and Kadec-Klee type properties in K-interpolation spaces I. General theory', Journal of Function Spaces and Applications, 2, pp. 125 - 173
    Journal articles | 2004
    Sukochev F; Dodds P; Dodds T; Sedaev A, 2004, 'Local uniform convexity and Kadec-Klee type properties in K-interpolation spaces II,', Journal of Function Spaces and Applications, 2, pp. 323 - 356
    Journal articles | 2004
    Sukochev F; Dodds P; Semenov E, 2004, 'The Banach-Saks property in rearrangement invariant spaces', Studia Mathematica, 162, pp. 263 - 294, http://dx.doi.org/10.4064/sm162-3-6
    Journal articles | 2004
    Sukochev F; Semenov E, 2004, 'The Banach-Saks index', Sbornik Mathematics, 195, pp. 117 - 140
    Journal articles | 2003
    Haagerup U; Rosenthal HP; Sukochev FA, 2003, 'Banach embedding properties of non-commutative Lp-spaces', Memoirs of the American Mathematical Society
    Journal articles | 2003
    Semenov EM; Sukochev FA, 2003, 'The Banach-Saks index of rearrangement invariant spaces on [0, 1]', Comptes Rendus Mathematique, 337, pp. 397 - 401, http://dx.doi.org/10.1016/j.crma.2003.07.003
    Journal articles | 2003
    Sukochev F; Carey AL; Phillips J, 2003, 'Spectral flow and Dixmier traces', Advances in Mathematics, 173, pp. 68 - 113, http://dx.doi.org/10.1016/S0001-8708(02)00015-4
    Journal articles | 2003
    Sukochev F; Dodds P; De pagter B; Semenov E; Sedaev A, 2003, 'Singular symmetric functionals and Banach limits with additional properties', Izvestiya Atmospheric and Oceanic Physics, 67, pp. 1187 - 1212, http://dx.doi.org/10.1070/IM2003v067n06ABEH000461
    Journal articles | 2003
    Sukochev F; Haagerup U; Rosenthal H, 2003, 'Banach embedding properties of non-commutative Lp-spaces', Memoirs of the American Mathematical Society, 163
    Journal articles | 2003
    Sukochev F; Xu Q, 2003, 'Embedding of non-commutative Lp-spaces', Archiv der Mathematik, 80, pp. 151 - 164, http://dx.doi.org/10.1007/s00013-003-0461-5
    Journal articles | 2002
    De Pagter B; Witvliet H; Sukochev FA, 2002, 'Double operator integrals', Journal of Functional Analysis, 192, pp. 52 - 111, http://dx.doi.org/10.1006/jfan.2001.3898
    Journal articles | 2002
    Dodds PG; Semenov EM; Sukochev FA; Franchetti C, 2002, 'Banach-Saks property for function spaces', Doklady Akademii Nauk, 385, pp. 587 - 590
    Journal articles | 2002
    Dodds PG; Semenov EM; Sukochev FA; Franchetti C, 2002, 'The Banach-Saks property for function spaces', Doklady Mathematics, 66, pp. 91 - 93
    Journal articles | 2002
    Dodds PG; Semenov EM; Sukochev FA, 2002, 'RUC systems in rearrangement invariant spaces', Studia Mathematica, 151, pp. 161 - 173, http://dx.doi.org/10.4064/sm151-2-4
    Journal articles | 2001
    Dodds PG; Ferleger SV; De Pagter B; Sukochev FA, 2001, 'Vilenkin systems and generalized triangular truncation operator', Integral Equations and Operator Theory, 40, pp. 403 - 435, http://dx.doi.org/10.1007/BF01198137
    Journal articles | 2001
    Dodds PG; Sukochev FA; Schlüchtermann G, 2001, 'Weak compactness criteria in symmetric spaces of measurable operators', Mathematical Proceedings of the Cambridge Philosophical Society, 131, pp. 363 - 384, http://dx.doi.org/10.1017/s0305004101005114
    Journal articles | 2000
    Carey AL; Phillips J; Sukochev FA, 2000, 'On Unbounded p-Summable Fredholm Modules', Advances in Mathematics, 151, pp. 140 - 163, http://dx.doi.org/10.1006/aima.1999.1876
    Journal articles | 2000
    Clément P; De Pagter B; Sukochev FA; Witvliet H, 2000, 'Schauder decompositions and multiplier theorems', Studia Mathematica, 138, pp. 135 - 163
    Journal articles | 2000
    Dodds PG; Sukochev FA, 2000, 'Non-commutative bounded Vilenkin systems', Mathematica Scandinavica, 87, pp. 73 - 92, http://dx.doi.org/10.7146/math.scand.a-14300
    Journal articles | 2000
    Haagerup U; Rosenthal HP; Sukochev FA, 2000, 'On the Banach-isomorphic classification of Lp spaces of hyperfinite von Neumann algebras', Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 331, pp. 691 - 695, http://dx.doi.org/10.1016/S0764-4442(00)01692-X
    Journal articles | 2000
    Sukochev FA, 2000, 'Linear-topological classification of separable Lp-spaces associated with von Neumann algebras of type I', Israel Journal of Mathematics, 115, pp. 137 - 156, http://dx.doi.org/10.1007/BF02810584
    Journal articles | 2000
    Sukochev FA, 2000, 'Operator estimates for Fredholm modules', Canadian Journal of Mathematics, 52, pp. 849 - 896, http://dx.doi.org/10.4153/CJM-2000-037-8
    Journal articles | 1999
    Dodds PG; Dodds TK; De Pagter B; Sukochev FA, 1999, 'Lipschitz continuity of the absolute value in preduals of semifinite factors', Integral Equations and Operator Theory, 34, pp. 28 - 44, http://dx.doi.org/10.1007/BF01332490
    Journal articles | 1999
    Sedaev AA; Semenov EM; Sukochev FA, 1999, 'Estimates of Perturbations of the Operator Function D(1 + D2)1/2 Based on a Nonlinear Functional in Symmetric Spaces', Doklady Mathematics, 60, pp. 367 - 370
    Journal articles | 1999
    Sedaev AA; Semenov EM; Sukochev FA, 1999, 'Perturbation estimates for operator function D(1 + D2)1/2 based on nonlinear functional in symmetric spaces', Doklady Akademii Nauk, 369, pp. 316 - 319
    Journal articles | 1998
    Dodds PG; De Pagter B; Semenov EM; Sukochev FA, 1998, 'Symmetric functionals and singular traces', Positivity, 2, pp. 47 - 75, http://dx.doi.org/10.1023/A:1009720826217
    Journal articles | 1998
    Sukochev FA, 1998, 'RUC-Bases in Orlicz and Lorentz operator spaces', Positivity, 2, pp. 265 - 279, http://dx.doi.org/10.1023/A:1009784801342
    Journal articles | 1997
    Chilin VI; Dodds PG; Sukochev FA, 1997, 'The Kadec-Klee property in symmetric spaces of measurable operators', ISRAEL JOURNAL OF MATHEMATICS, 97, pp. 203 - 219, http://dx.doi.org/10.1007/BF02774037
    Journal articles | 1997
    Dodds PG; Dodds TK; De Pagter B; Sukochev FA, 1997, 'Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces', Journal of Functional Analysis, 148, pp. 28 - 69, http://dx.doi.org/10.1006/jfan.1996.3055
    Journal articles | 1997
    Dodds PG; Dodds TK; Sukochev FA, 1997, 'Lifting of kadec-klee properties to symmetric spaces of measurable operators', Proceedings of the American Mathematical Society, 125, pp. 1457 - 1467, http://dx.doi.org/10.1090/s0002-9939-97-03731-3
    Journal articles | 1997
    Dodds PG; Sukochev FA, 1997, 'RUC-decompositions in symmetric operator spaces', Integral Equations and Operator Theory, 29, pp. 269 - 287, http://dx.doi.org/10.1007/BF01320701
    Journal articles | 1996
    Ayupov SA; Ferleger SV; Sukochev FA, 1996, 'Isomorphism between the associative and non-associative LP-spaces of type II1 hyperfinite factors', Mathematica Scandinavica, 78, pp. 271 - 285, http://dx.doi.org/10.7146/math.scand.a-12589
    Journal articles | 1996
    Chilin VI; Dodds PG; Sedaev AA; Sukochev FA, 1996, 'Characterizations of kadec-klee properties in symmetric spaces of measurable functions', Transactions of the American Mathematical Society, 348, pp. 4895 - 4918, http://dx.doi.org/10.1090/s0002-9947-96-01782-5
    Journal articles | 1996
    Dodds PG; Sukochev FA, 1996, 'Contractibility of the Linear Group in Banach Spaces of Measurable Operators', Integral Equations and Operator Theory, 26, pp. 305 - 337, http://dx.doi.org/10.1007/BF01306545
    Journal articles | 1996
    Ferleger SV; Sukochev FA, 1996, 'On the contractibility to a point of the linear groups of reflexive non-commutative Lp-spaces', Mathematical Proceedings of the Cambridge Philosophical Society, 119, pp. 545 - 560, http://dx.doi.org/10.1017/S0305004100074405
    Journal articles | 1996
    Sukochev FA, 1996, 'Isometries of symmetric operator spaces associated with AFD factors of type II and symmetric vector-valued spaces', Integral Equations and Operator Theory, 26, pp. 102 - 124, http://dx.doi.org/10.1007/BF01229507
    Journal articles | 1996
    Sukochev FA, 1996, 'Non-isomorphism of LP-spaces associated with finite and infinite von Neumann algebras', Proceedings of the American Mathematical Society, 124, pp. 1517 - 1527, http://dx.doi.org/10.1090/s0002-9939-96-03279-0
    Journal articles | 1995
    Dodds PG; Dodds TK; Dowling PN; Lennard CJ; Sukochev FA, 1995, 'A Uniform Kadec-Klee Property for Symmetric Operator Spaces', Mathematical Proceedings of the Cambridge Philosophical Society, 118, pp. 487 - 502, http://dx.doi.org/10.1017/S0305004100073813
    Journal articles | 1995
    Sukochev FA; Ferleger SV, 1995, 'Harmonic analysis in (UMD)-spaces: Applications to the theory of bases', Mathematical Notes, 58, pp. 1315 - 1326, http://dx.doi.org/10.1007/BF02304891
    Journal articles | 1995
    Sukochev FA; Sheremetyev VE, 1995, 'The linear groups of injective factors and of matroid C*algebras are contractible to a point', MATHEMATICA SCANDINAVICA, 77, pp. 119 - 128, http://dx.doi.org/10.7146/math.scand.a-12553
    Journal articles | 1995
    Sukochev FA, 1995, 'On the uniform kadec-klee property with respect to convergence in measure', Journal of the Australian Mathematical Society, 59, pp. 343 - 352, http://dx.doi.org/10.1017/S1446788700037241
    Journal articles | 1994
    SEDAEV AA; SUKOCHEV FA, 1994, 'KADEC-KLEE AND LOCAL UNIFORM CONVEXITY PROPERTIES IN THE INTERPOLATION SPACES OF K-METHOD', DOKLADY AKADEMII NAUK, 338, pp. 736 - 739, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994PR75500005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Journal articles | 1994
    SUKOCHEV FA; FERLEGER SV, 1994, 'HARMONIC-ANALYSIS IN SYMMETRICAL SPACES OF MEASURABLE OPERATORS', DOKLADY AKADEMII NAUK, 339, pp. 307 - 310, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994PX78000005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Journal articles | 1994
    Sukochev FA; Ferleger SV, 1994, 'The Matsaev theorem for symmetric spaces of measurable operators', Mathematical Notes, 56, pp. 1185 - 1189, http://dx.doi.org/10.1007/BF02274667
    Journal articles | 1994
    Sukochev FA, 1994, 'RUC-bases in E(L∞711-01711-01711-01 B(H)) and F(CE)', Mathematical Notes, 56, pp. 711 - 721, http://dx.doi.org/10.1007/BF02110562
    Journal articles | 1992
    Sukochev FA, 1992, 'The property (MLUR) in symmetric (KB)-spaces', Mathematical Notes, 52, pp. 1280 - 1282, http://dx.doi.org/10.1007/BF01209383
    Journal articles | 1991
    KRYGIN AV; SUKOCHEV FA; CHILIN VI, 1991, 'UNIFORM CONVEXITY AND LOCAL UNIFORM CONVEXITY OF SYMMETRICAL SPACES OF MEASURABLE OPERATORS', DOKLADY AKADEMII NAUK SSSR, 317, pp. 555 - 558, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1991FR20400010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Journal articles | 1990
    SUKOCHEV FA; CHILIN VI, 1990, 'DEGREE CONVERGENCE IN CURRENT NONCOMMUTATIVE SYMMETRICAL SPACES', IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, pp. 63 - 70, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1990ET08400009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
  • Preprints | 2023
    Ber A; Borst M; Sukochev F, 2023, Commutator estimates for normal operators in factors with applications to derivations, , http://dx.doi.org/10.48550/arxiv.2304.10775
    Conference Papers | 2023
    McDonald E; Sukochev F; Xiong X, 2023, 'Quantum differentiability – the analytical perspective', in Proceedings of Symposia in Pure Mathematics, pp. 257, http://dx.doi.org/10.1090/pspum/105/13
    Preprints | 2022
    Astashkin S; Huang J; Pliev M; Sukochev F; Zanin D, 2022, Optimal range of Haar martingale transforms and its applications, , http://arxiv.org/abs/2202.07154v1
    Preprints | 2022
    Azamov N; Hekkelman E; McDonald E; Sukochev F; Zanin D, 2022, An Application of Singular Traces to Crystals and Percolation, , http://dx.doi.org/10.48550/arxiv.2202.03676
    Preprints | 2022
    Frank RL; Sukochev F; Zanin D, 2022, Asymptotics of singular values for quantum derivatives, , http://dx.doi.org/10.48550/arxiv.2209.12559
    Preprints | 2021
    Azamov N; McDonald E; Zanin D; Sukochev F, 2021, The density of states depends on the domain, , http://dx.doi.org/10.48550/arxiv.2107.09828
    Preprints | 2021
    Ber AF; Borst MJ; Borst SJ; Sukochev FA, 2021, A multidimensional solution to additive homological equations, , http://dx.doi.org/10.48550/arxiv.2107.11248
    Preprints | 2021
    Carey A; Gesztesy F; Levitina G; Nichols R; Sukochev F; Zanin D, 2021, The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators, , http://dx.doi.org/10.48550/arxiv.2105.03024
    Preprints | 2021
    Carey A; Levitina G; Potapov D; Sukochev F, 2021, The Witten index and the spectral shift function, , http://dx.doi.org/10.48550/arxiv.2101.06812
    Preprints | 2021
    Jiao Y; Sukochev F; Wu L; Zanin D, 2021, Distributional inequalities for noncommutative martingales, , http://dx.doi.org/10.48550/arxiv.2103.08847
    Preprints | 2021
    McDonald E; Scheckter TT; Sukochev F, 2021, Estimates for Schur Multipliers and Double Operator Integrals -- A Wavelet Approach, , http://dx.doi.org/10.48550/arxiv.2104.06567
    Preprints | 2020
    Ber A; Huang J; Kudaybergenov K; Sukochev F, 2020, Non-existence of translation-invariant derivations on algebras of measurable functions, , http://dx.doi.org/10.48550/arxiv.2002.00590
    Preprints | 2020
    Caspers M; Sukochev F; Zanin D, 2020, Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions, , http://dx.doi.org/10.48550/arxiv.2004.02145
    Preprints | 2020
    Nessipbayev Y; Sukochev F; Tulenov K, 2020, Weak compactness criteria in $L_1$ space in terms of Orlicz function, , http://dx.doi.org/10.48550/arxiv.2004.12578
    Preprints | 2020
    Sukochev F; Tulenov K; Zanin D, 2020, Corrigendum to the paper "The optimal range of the Calderon operator and its applications." [J. Funct. Anal. 277 (2019), no. 10, 3513--3559, arXiv:1908.09548], , http://dx.doi.org/10.48550/arxiv.2004.13311
    Preprints | 2019
    Azamov N; McDonald E; Sukochev F; Zanin D, 2019, A Dixmier trace formula for the density of states, , http://dx.doi.org/10.48550/arxiv.1910.12380
    Preprints | 2019
    Ber A; Kudaybergenov K; Sukochev F, 2019, Notes on derivations of Murray--von Neumann algebras, , http://dx.doi.org/10.48550/arxiv.1906.00243
    Preprints | 2019
    Ber AF; Borst MJ; Sukochev FA, 2019, Full proof of Kwapień's theorem on representing bounded mean zero functions on $[0,1]$, , http://dx.doi.org/10.48550/arxiv.1911.13006
    Preprints | 2019
    Caspers M; Junge M; Sukochev F; Zanin D, 2019, BMO-estimates for non-commutative vector valued Lipschitz functions, , http://dx.doi.org/10.48550/arxiv.1903.10912
    Preprints | 2019
    Dauitbek D; Huang J; Sukochev F, 2019, Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart, , http://dx.doi.org/10.48550/arxiv.1904.06068
    Preprints | 2019
    Dodds P; Dodds T; Sukochev F; Zanin D, 2019, Logarithmic submajorization, uniform majorization and Hölder type inequalities for $\tau$-measurable operators, , http://dx.doi.org/10.48550/arxiv.1910.10874
    Preprints | 2019
    Jiao Y; Xie G; Sukochev F; Zanin D, 2019, Rosenthal's inequalities: $\Delta-$norms and quasi-Banach symmetric sequence spaces, , http://dx.doi.org/10.48550/arxiv.1910.12482
    Preprints | 2019
    Sukochev F; Tulenov K; Zanin D, 2019, The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications, , http://dx.doi.org/10.48550/arxiv.1909.10897
    Preprints | 2019
    Sukochev F; Tulenov K; Zanin D, 2019, The optimal range of the Calder\`{o}n operator and its applications, , http://dx.doi.org/10.48550/arxiv.1908.09548
    Preprints | 2018
    Connes A; Levitina G; McDonald E; Sukochev F; Zanin D, 2018, Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators, , http://dx.doi.org/10.48550/arxiv.1808.01772
    Preprints | 2017
    Carey A; Gesztesy F; Kaad J; Levitina G; Nichols R; Potapov D; Sukochev F, 2017, On the Global Limiting Absorption Principle for Massless Dirac Operators, , http://dx.doi.org/10.48550/arxiv.1711.01029
    Preprints | 2017
    Caspers M; Sukochev F; Zanin D, 2017, Weak type operator Lipschitz and commutator estimates for commuting tuples, , http://dx.doi.org/10.48550/arxiv.1703.03089
    Preprints | 2017
    Charlesworth I; Dykema K; Sukochev F; Zanin D, 2017, Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra, , http://dx.doi.org/10.48550/arxiv.1703.05695
    Preprints | 2017
    Coine C; Merdy CL; Skripka A; Sukochev F, 2017, Higher order $\Sc^2$-differentiability and application to Koplienko trace formula, , http://dx.doi.org/10.48550/arxiv.1712.10289
    Preprints | 2017
    Coine C; Merdy CL; Sukochev F, 2017, When do triple operator integrals take value in the trace class?, , http://dx.doi.org/10.48550/arxiv.1706.01662
    Preprints | 2017
    Levitina G; Sukochev F; Zanin D, 2017, Cwikel estimates revisited, , http://dx.doi.org/10.48550/arxiv.1703.04254
    Preprints | 2016
    Carey A; Gesztesy F; Grosse H; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, Trace Formulas for a Class of non-Fredholm Operators: A Review, , http://dx.doi.org/10.48550/arxiv.1610.04954
    Conference Papers | 2016
    Carey A; Gesztesy F; Levitina G; Sukochev F, 2016, 'The spectral shift function and the witten index', in Operator Theory: Advances and Applications, pp. 71 - 105, http://dx.doi.org/10.1007/978-3-319-29992-1_5
    Preprints | 2016
    Jiao Y; Sukochev F; Xie G; Zanin D, 2016, $\Phi$-moment inequalities for independent and freely independent random variables, , http://dx.doi.org/10.48550/arxiv.1608.07368
    Preprints | 2016
    Jiao Y; Sukochev F; Zanin D; Zhou D, 2016, Johnson-Schechtman inequalities for noncommutative martingales, , http://dx.doi.org/10.48550/arxiv.1612.04452
    Preprints | 2016
    Jiao Y; Sukochev F; Zanin D, 2016, Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory, , http://dx.doi.org/10.48550/arxiv.1608.07367
    Preprints | 2016
    Potapov D; Sukochev F; Usachev A; Zanin D, 2016, Singular traces and perturbation formulae of higher order, , http://dx.doi.org/10.48550/arxiv.1612.04511
    Preprints | 2015
    Aubrun G; Sukochev F; Zanin D, 2015, Catalysis in the trace class and weak trace class ideals, , http://dx.doi.org/10.48550/arxiv.1506.05974
    Preprints | 2015
    Carey A; Gesztesy F; Levitina G; Nichols R; Potapov D; Sukochev F, 2015, Double operator integral methods applied to continuity of spectral shift functions, , http://dx.doi.org/10.48550/arxiv.1511.07998
    Preprints | 2015
    Carey A; Gesztesy F; Levitina G; Potapov D; Sukochev F; Zanin D, 2015, On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example, , http://dx.doi.org/10.48550/arxiv.1509.01356
    Preprints | 2015
    Carey A; Gesztesy F; Levitina G; Sukochev F, 2015, On the Index of a Non-Fredholm Model Operator, , http://dx.doi.org/10.48550/arxiv.1509.01580
    Preprints | 2015
    Carey A; Gesztesy F; Levitina G; Sukochev F, 2015, The Spectral shift function and the Witten index, , http://dx.doi.org/10.48550/arxiv.1505.04895
    Preprints | 2015
    Caspers M; Potapov D; Sukochev F; Zanin D, 2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, , http://dx.doi.org/10.48550/arxiv.1506.00778
    Preprints | 2015
    Coine C; Merdy CL; Potapov D; Sukochev F; Tomskova A, 2015, Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case, , http://dx.doi.org/10.48550/arxiv.1509.00616
    Preprints | 2015
    Coine C; Merdy CL; Potapov D; Sukochev F; Tomskova A, 2015, Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae, , http://dx.doi.org/10.48550/arxiv.1504.03843
    Preprints | 2015
    Dykema K; Noles J; Sukochev F; Zanin D, 2015, On reduction theory and Brown measure for closed unbounded operators, , http://dx.doi.org/10.48550/arxiv.1509.03362
    Preprints | 2015
    Dykema K; Sukochev F; Zanin D, 2015, Algebras of log-integrable functions and operators, , http://dx.doi.org/10.48550/arxiv.1509.03360
    Preprints | 2015
    Dykema K; Sukochev F; Zanin D, 2015, An upper triangular decomposition theorem for some unbounded operators affiliated to II_1-factors, , http://dx.doi.org/10.48550/arxiv.1509.03358
    Preprints | 2015
    Rozendaal J; Sukochev F; Tomskova A, 2015, Operator Lipschitz functions on Banach spaces, , http://dx.doi.org/10.48550/arxiv.1501.03267
    Preprints | 2014
    Astashkin S; Sukochev F; Zanin D, 2014, On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p, , http://dx.doi.org/10.48550/arxiv.1406.4950
    Preprints | 2014
    Carey A; Gayral V; Phillips J; Rennie A; Sukochev F, 2014, Spectral flow for nonunital spectral triples, , http://dx.doi.org/10.48550/arxiv.1401.1354
    Preprints | 2014
    Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, A Jost-Pais-type reduction of Fredholm determinants and some applications, , http://dx.doi.org/10.48550/arxiv.1404.0739
    Preprints | 2014
    Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, On the Witten index in terms of spectral shift functions, , http://dx.doi.org/10.48550/arxiv.1404.0740
    Preprints | 2014
    Gesztesy F; Latushkin Y; Sukochev F; Tomilov Y, 2014, Some Operator Bounds Employing Complex Interpolation Revisited, , http://dx.doi.org/10.48550/arxiv.1405.1517
    Conference Papers | 2013
    Carey AL; Phillips J; Rennie A; Sukochev FA, 2013, 'The Local Index Formula in Noncommutative Geometry Revisited', in Noncommutative Geometry and Physics 3, WORLD SCIENTIFIC, presented at Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry, http://dx.doi.org/10.1142/9789814425018_0001
    Preprints | 2013
    Caspers M; Potapov D; Sukochev F; Zanin D, 2013, Weak type estimates for the absolute value mapping, , http://dx.doi.org/10.48550/arxiv.1309.3378
    Preprints | 2013
    Dykema K; Sukochev F; Zanin D, 2013, Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras, , http://dx.doi.org/10.48550/arxiv.1310.2524
    Preprints | 2013
    Gayral V; Sukochev F, 2013, Dixmier traces and extrapolation description of noncommutative Lorentz spaces, , http://dx.doi.org/10.48550/arxiv.1302.1367
    Preprints | 2012
    Ber AF; Chilin VI; Levitina GB; Sukochev FA, 2012, Derivations on symmetric quasi-Banach ideals of compact operators, , http://dx.doi.org/10.48550/arxiv.1204.4297
    Preprints | 2012
    Caspers M; Montgomery-Smith S; Potapov D; Sukochev F, 2012, The best constants for operator Lipschitz functions on Schatten classes, , http://dx.doi.org/10.48550/arxiv.1209.3948
    Preprints | 2012
    Kalton N; Lord S; Potapov D; Sukochev F, 2012, Traces of compact operators and the noncommutative residue, , http://dx.doi.org/10.48550/arxiv.1210.3423
    Preprints | 2012
    Potapov D; Skripka A; Sukochev F, 2012, Higher order spectral shift for contractions, , http://dx.doi.org/10.48550/arxiv.1210.8227
    Preprints | 2011
    Carey A; Gayral V; Rennie A; Sukochev F, 2011, Index theory for locally compact noncommutative geometries, , http://dx.doi.org/10.48550/arxiv.1107.0805
    Preprints | 2011
    Caspers M; Potapov D; Sukochev F, 2011, The Walsh basis in the Lp-spaces of hyperfinite III_\lambda-factors, 0 < \lambda <= 1, , http://dx.doi.org/10.48550/arxiv.1111.2403
    Preprints | 2010
    Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, Functions of normal operators under perturbations, , http://dx.doi.org/10.48550/arxiv.1008.1638
    Preprints | 2010
    Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, Functions of perturbed normal operators, , http://dx.doi.org/10.48550/arxiv.1003.5286
    Preprints | 2010
    Astashkin SV; Zanin DV; Semenov EM; Sukochev FA, 2010, Kruglov operator and operators defined by random permutations, , http://dx.doi.org/10.48550/arxiv.1003.2009
    Preprints | 2010
    Gesztesy F; Gomilko A; Sukochev F; Tomilov Y, 2010, On a Question of A. E. Nussbaum on Measurability of Families of Closed Linear Operators in a Hilbert Space, , http://dx.doi.org/10.48550/arxiv.1002.2733
    Preprints | 2010
    Gesztesy F; Latushkin Y; Makarov KA; Sukochev F; Tomilov Y, 2010, The index formula and the spectral shift function for relatively trace class perturbations, , http://dx.doi.org/10.48550/arxiv.1004.1582
    Preprints | 2009
    Carey A; Gayral V; Rennie A; Sukochev F, 2009, Integration on locally compact noncommutative spaces, , http://dx.doi.org/10.48550/arxiv.0912.2817
    Preprints | 2009
    Lord S; Sukochev FA, 2009, Noncommutative Residues and a Characterisation of the Noncommutative Integral, , http://dx.doi.org/10.48550/arxiv.0905.0187
    Preprints | 2009
    Potapov D; Skripka A; Sukochev F, 2009, Spectral shift function of higher order, , http://dx.doi.org/10.48550/arxiv.0912.3056
    Preprints | 2008
    Merdy CL; Sukochev F, 2008, Rademacher averages on noncommutative symmetric spaces, , http://dx.doi.org/10.48550/arxiv.0803.4404
    Preprints | 2007
    Azamov NA; Carey AL; Dodds PG; Sukochev FA, 2007, Operator integrals, spectral shift and spectral flow, , http://dx.doi.org/10.48550/arxiv.math/0703442
    Preprints | 2007
    Azamov NA; Carey AL; Sukochev FA, 2007, The spectral shift function and spectral flow, , http://dx.doi.org/10.48550/arxiv.0705.1392