Scientia Professor Fedor Sukochev

Buskes G; de Jeu M; Dodds P; Schep A; Sukochev F; van Neerven J; Wickstead A, 2019, Preface

Lord S; Sukochev F; Zanin DV, 2012, Singular Traces: Theory and Applications, Original, Walter de Gruyter GmbH, Germany

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

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

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

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

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

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

Frank RL; Sukochev F; Zanin D, 2023, 'ASYMPTOTICS OF SINGULAR VALUES FOR QUANTUM DERIVATIVES', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, http://dx.doi.org/10.1090/tran/8827

Huang J; Pliev M; Sukochev F, 2023, 'A NONCOMMUTATIVE GRETSKY–OSTROY THEOREM AND ITS APPLICATIONS', Proceedings of the American Mathematical Society, vol. 151, pp. 1147 - 1155, http://dx.doi.org/10.1090/proc/16173

Jiao Y; Sukochev F; Wu L; Zanin D, 2023, 'Distributional inequalities for noncommutative martingales', Journal of Functional Analysis, vol. 284, http://dx.doi.org/10.1016/j.jfa.2022.109798

Pliev M; Sukochev F, 2023, 'Narrow operators on tensor products of Köthe spaces', Journal of Mathematical Analysis and Applications, vol. 522, pp. 126950 - 126950, http://dx.doi.org/10.1016/j.jmaa.2022.126950

Sukochev F; Zanin D, 2023, 'Resolution of a problem by Simon concerning Schrödinger operators via methods from noncommutative geometry', Journal d'Analyse Mathematique, http://dx.doi.org/10.1007/s11854-022-0257-9

Занин ДВ; Zanin DV; Сукочев ФА; Sukochev FA, 2023, 'Формула интегрирования Конна - конструктивный подход', Функциональный анализ и его приложения, vol. 57, pp. 52 - 76, http://dx.doi.org/10.4213/faa4025

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

Astashkin S; Sukochev F; Zanin D, 2022, 'The distribution of a random variable whose independent copies span ℓM is unique', Revista Matematica Complutense, vol. 35, pp. 815 - 834, http://dx.doi.org/10.1007/s13163-021-00406-x

Ber A; Huang J; Kudaybergenov K; Sukochev F, 2022, 'Non-existence of translation-invariant derivations on algebras of measurable functions', Quaestiones Mathematicae, http://dx.doi.org/10.2989/16073606.2022.2053225

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, vol. 390, pp. 577 - 616, http://dx.doi.org/10.1007/s00220-022-04313-0

Ber A; Kudaybergenov K; Sukochev F, 2022, 'Derivations of Murray-von Neumann algebras', Journal fur die Reine und Angewandte Mathematik, vol. 2022, pp. 283 - 301, http://dx.doi.org/10.1515/crelle-2022-0051

Carey A; Levitina G; Potapov D; Sukochev F, 2022, 'The Witten index and the spectral shift function', Reviews in Mathematical Physics, vol. 34, http://dx.doi.org/10.1142/S0129055X22500118

Coine C; Le Merdy C; Sukochev F, 2022, 'When do triple operator integrals take value in the trace class?', Annales de l'Institut Fourier, vol. 71, pp. 1393 - 1448, http://dx.doi.org/10.5802/aif.3422

Huang J; Pliev M; Sukochev F, 2022, '(Non-)Dunford–Pettis operators on noncommutative symmetric spaces', Journal of Functional Analysis, vol. 282, pp. 109443 - 109443, http://dx.doi.org/10.1016/j.jfa.2022.109443

Huang J; Pliev M; Sukochev F, 2022, 'On Narrow Operators from Lp into Operator Ideals', Mediterranean Journal of Mathematics, vol. 19, http://dx.doi.org/10.1007/s00009-022-02118-y

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, vol. 150, pp. 1623 - 1633, http://dx.doi.org/10.1090/proc/15737

Huang J; Sadovskaya O; Sukochev F, 2022, 'On Arazy's problem concerning isomorphic embeddings of ideals of compact operators', Advances in Mathematics, vol. 406, http://dx.doi.org/10.1016/j.aim.2022.108530

Huang J; Sukochev F; Zanin D, 2022, 'Operator θ-Hölder functions with respect to (Formula presented.)', Journal of the London Mathematical Society, vol. 105, pp. 2436 - 2477, http://dx.doi.org/10.1112/jlms.12565

Huang J; Sukochev F; Zanin D, 2022, 'Optimal estimates for martingale transforms', Journal of Functional Analysis, vol. 282, pp. 109451 - 109451, http://dx.doi.org/10.1016/j.jfa.2022.109451

McDonald E; Sukochev F, 2022, 'Lipschitz estimates in quasi-Banach Schatten ideals', Mathematische Annalen, vol. 383, pp. 571 - 619, http://dx.doi.org/10.1007/s00208-021-02247-x

McDonald E; Sukochev F; Zanin D, 2022, 'A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry', Letters in Mathematical Physics, vol. 112, http://dx.doi.org/10.1007/s11005-022-01568-5

Semenov E; Sukochev F; Zanin D, 2022, 'Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry', Journal of Mathematical Analysis and Applications, vol. 510, http://dx.doi.org/10.1016/j.jmaa.2022.126043

Сукочев ФА; Sukochev FA; Занин ДВ; Zanin DV, 2022, 'Оценки Соломяка для оператора Бирмана-Швингера', Математический сборник, vol. 213, pp. 97 - 137, http://dx.doi.org/10.4213/sm9732

Ber A; Borst M; Sukochev F, 2021, 'Full proof of Kwapien's theorem on representing bounded mean zero functions on [0,1]', STUDIA MATHEMATICA, vol. 259, pp. 241 - 270, http://dx.doi.org/10.4064/sm191129-31-8

Bikchentaev A; Sukochev F, 2021, 'Inequalities for the block projection operators', Journal of Functional Analysis, vol. 280, http://dx.doi.org/10.1016/j.jfa.2020.108851

Britz T; Carey A; Gesztesy F; Nichols R; Sukochev F; Zanin D, 2021, 'The product formula for regularized Fredholm determinants', Proceedings of the American Mathematical Society, Series B, vol. 8, pp. 42 - 51, http://dx.doi.org/10.1090/bproc/70

Caspers M; Sukochev F; Zanin D, 2021, 'Weak (1,1) estimates for multiple operator integrals and generalized absolute value functions', Israel Journal of Mathematics, vol. 244, pp. 245 - 271, http://dx.doi.org/10.1007/s11856-021-2179-0

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

Huang J; Sukochev F, 2021, 'Isomorphic classification of Lp,q-spaces, II', Journal of Functional Analysis, vol. 280, pp. 2611 - 2630, http://dx.doi.org/10.1016/j.jfa.2021.108994

Jiao Y; Sukochev F; Xie G; Zanin D, 2021, 'Free Rosenthal Inequalities on Vector-Valued Symmetric Operator Spaces', INTERNATIONAL MATHEMATICS RESEARCH NOTICES, vol. 2022, pp. 16634 - 16671, http://dx.doi.org/10.1093/imrn/rnab197

Jiao Y; Sukochev F; Zhou D, 2021, 'Maximal Inequalities of Noncommutative Martingale Transforms', Canadian Journal of Mathematics, vol. 73, pp. 221 - 248, http://dx.doi.org/10.4153/S0008414X19000580

Junge M; Scheckter TT; Sukochev F, 2021, 'A noncommutative generalisation of a problem of Steinhaus', Journal of Functional Analysis, vol. 280, pp. 108782 - 108782, http://dx.doi.org/10.1016/j.jfa.2020.108782

McDonald E; Scheckter TT; Sukochev FA, 2021, 'Estimates for Schur Multipliers and Double Operator Integrals—A Wavelet Approach', Functional Analysis and its Applications, vol. 55, pp. 81 - 93, http://dx.doi.org/10.1134/S0016266321020015

Nessipbayev Y; Sukochev F; Tulenov K, 2021, 'Non-commutative analogues of weak compactness criteria in symmetric spaces', Advances in Operator Theory, vol. 6, http://dx.doi.org/10.1007/s43036-021-00129-2

Pliev M; Sukochev F, 2021, 'The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces', Journal of Mathematical Analysis and Applications, vol. 500, http://dx.doi.org/10.1016/j.jmaa.2021.125142

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, vol. 167, http://dx.doi.org/10.1016/j.bulsci.2020.102943

Sukochev F; Zanin D, 2021, 'Optimal constants in non-commutative hölder inequality for quasi-norms', Proceedings of the American Mathematical Society, vol. 149, pp. 3813 - 3817, http://dx.doi.org/10.1090/proc/15442

Sukochev FA; Huang J, 2021, 'Isometries on Noncommutative Symmetric Spaces', Doklady Mathematics, vol. 103, pp. 54 - 56, http://dx.doi.org/10.1134/S1064562421010129

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, vol. 55, pp. 5 - 20, http://dx.doi.org/10.4213/faa3872

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

Azamov N; McDonald E; Sukochev F; Zanin D, 2020, 'A Dixmier Trace Formula for the Density of States', Communications in Mathematical Physics, vol. 377, pp. 2597 - 2628, http://dx.doi.org/10.1007/s00220-020-03756-7

Ber A; Kudaybergenov K; Sukochev F, 2020, 'Notes on derivations of Murray–von Neumann algebras', Journal of Functional Analysis, vol. 279, http://dx.doi.org/10.1016/j.jfa.2020.108589

Bikchentaev A; McDonald E; Sukochev F, 2020, 'Ando's inequality for uniform submajorization', Linear Algebra and Its Applications, vol. 605, pp. 206 - 226, http://dx.doi.org/10.1016/j.laa.2020.07.015

Caspers M; Junge M; Sukochev F; Zanin D, 2020, 'BMO-estimates for non-commutative vector valued Lipschitz functions', Journal of Functional Analysis, vol. 278, http://dx.doi.org/10.1016/j.jfa.2019.108317

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, vol. 72, pp. 1188 - 1245, http://dx.doi.org/10.4153/S0008414X19000282

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

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, vol. 92, http://dx.doi.org/10.1007/s00020-020-02586-5

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, vol. 92, http://dx.doi.org/10.1007/s00020-020-02585-6

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Logarithmic submajorization, uniform majorization and Hölder type inequalities for τ-measurable operators', Indagationes Mathematicae, vol. 31, pp. 809 - 830, http://dx.doi.org/10.1016/j.indag.2020.02.004

Huang J; Levitina G; Sukochev F, 2020, 'M-embedded symmetric operator spaces and the derivation problem', Mathematical Proceedings of the Cambridge Philosophical Society, vol. 169, pp. 607 - 622, http://dx.doi.org/10.1017/S030500411900029X

Huang J; Sukochev F, 2020, 'Operator \theta-Hölder functions', Banach Journal of Mathematical Analysis, http://dx.doi.org/10.1007/s43037-020-00056-z

Jiao Y; Sukochev F; Xie G; Zanin D, 2020, 'Rosenthal's inequalities: Delta-norms and quasi-Banach symmetric sequence spaces', STUDIA MATHEMATICA, vol. 255, pp. 55 - 81, http://dx.doi.org/10.4064/sm190503-28-10

Jiao Y; Sukochev F; Zanin D, 2020, 'On subspaces spanned by freely independent random variables in noncommutative Lp-spaces', Israel Journal of Mathematics, vol. 238, pp. 431 - 477, http://dx.doi.org/10.1007/s11856-020-2047-3

Jiao Y; Sukochev F; Zanin D, 2020, 'Sums of independent and freely independent identically distributed random variables', STUDIA MATHEMATICA, vol. 251, pp. 289 - 315, http://dx.doi.org/10.4064/sm180912-31-12

Levitina G; Sukochev F; Zanin D, 2020, 'Cwikel estimates revisited', Proceedings of the London Mathematical Society, vol. 120, pp. 265 - 304, http://dx.doi.org/10.1112/plms.12301

Lord S; Sukochev F; Zanin D, 2020, 'A last theorem of Kalton and finiteness of Connes' integral', Journal of Functional Analysis, vol. 279, http://dx.doi.org/10.1016/j.jfa.2020.108664

McDonald E; Sukochev F; Xiong X, 2020, 'Quantum Differentiability on Noncommutative Euclidean Spaces', Communications in Mathematical Physics, vol. 379, pp. 491 - 542, http://dx.doi.org/10.1007/s00220-019-03605-2

Pliev M; Sukochev F; Zanin D, 2020, 'Lp- Bounds for the Krein Spectral Shift Function: 0<p<∞', Russian Journal of Mathematical Physics, vol. 27, pp. 491 - 499, http://dx.doi.org/10.1134/S1061920820040093

Semenov E; Sukochev F; Usachev A; Zanin D, 2020, 'INVARIANT BANACH LIMITS AND APPLICATIONS TO NONCOMMUTATIVE GEOMETRY', Pacific Journal of Mathematics, vol. 306, pp. 357 - 373, http://dx.doi.org/10.2140/pjm.2020.306.357

Semenov EM; Sukochev FA; Usachev AS, 2020, 'Geometry of Banach limits and their applications', Russian Mathematical Surveys, vol. 75, pp. 725 - 763, http://dx.doi.org/10.1070/RM9901

Sukochev F; Zhou D, 2020, '2-co-lacunary sequences in noncommutative symmetric banach spaces', Proceedings of the American Mathematical Society, vol. 148, pp. 2045 - 2058, http://dx.doi.org/10.1090/proc/14862

de Pagter B; Sukochev FA, 2020, 'The Grothendieck property in Marcinkiewicz spaces', Indagationes Mathematicae, vol. 31, pp. 791 - 808, http://dx.doi.org/10.1016/j.indag.2020.01.008

Семeнов ЕМ; Semenov EM; Сукочев ФА; Sukochev FA; Усачев АС; Usachev AS, 2020, 'Геометрия банаховых пределов и их приложения', Uspekhi Matematicheskikh Nauk, vol. 75, pp. 153 - 194, http://dx.doi.org/10.4213/rm9901

Bikchentaev A; Sukochev F, 2019, 'When weak and local measure convergence implies norm convergence', Journal of Mathematical Analysis and Applications, vol. 473, pp. 1414 - 1431, http://dx.doi.org/10.1016/j.jmaa.2019.01.028

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, vol. 141, pp. 593 - 610, http://dx.doi.org/10.1353/ajm.2019.0019

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, vol. 276, pp. 3170 - 3204, http://dx.doi.org/10.1016/j.jfa.2018.09.005

Connes A; Levitina G; McDonald E; Sukochev F; Zanin D, 2019, 'Noncommutative geometry for symmetric non-self-adjoint operators', Journal of Functional Analysis, vol. 277, pp. 889 - 936, http://dx.doi.org/10.1016/j.jfa.2018.12.012

Connes A; Mcdonald E; Sukochev F; Zanin D, 2019, 'Conformal trace theorem for Julia sets of quadratic polynomials', Ergodic Theory and Dynamical Systems, vol. 39, pp. 2481 - 2506, http://dx.doi.org/10.1017/etds.2017.124

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

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

Levitina G; Sukochev F; Zanin D, 2019, 'Sign of a perturbed massive Dirac operator and associated Fredholm module', JOURNAL OF GEOMETRY AND PHYSICS, vol. 136, pp. 244 - 267, http://dx.doi.org/10.1016/j.geomphys.2018.09.017

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

Mcdonald E; Sukochev F; Xiong X, 2019, 'Quantum Differentiability on Quantum Tori', Communications in Mathematical Physics, vol. 371, pp. 1231 - 1260, http://dx.doi.org/10.1007/s00220-019-03384-w

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, vol. 371, pp. 7493 - 7532, http://dx.doi.org/10.1090/tran/7215

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

Semenov EM; Sukochev FA; Usachev AS, 2019, 'The main classes of invariant Banach limits', Izvestiya Mathematics, vol. 83, pp. 124 - 150, http://dx.doi.org/10.1070/IM8704

Sukochev F; Tulenov K; Zanin D, 2019, 'The optimal range of the Calderòn operator and its applications', Journal of Functional Analysis, vol. 277, pp. 3513 - 3559, http://dx.doi.org/10.1016/j.jfa.2019.05.012

Sukochev F; Veksler A, 2019, 'The Mean Ergodic Theorem in symmetric spaces', Studia Mathematica, vol. 245, pp. 229 - 253, http://dx.doi.org/10.4064/sm170311-31-10

Бер АФ; Ber AF; Кудайбергенов КК; Kudaybergenov KK; Сукочев ФА; Sukochev FA, 2019, 'Дифференцирования на алгебрах Мюррея-фон Неймана', Uspekhi Matematicheskikh Nauk, vol. 74, pp. 183 - 184, http://dx.doi.org/10.4213/rm9902

Alekhno E; Semenov E; Sukochev F; Usachev A, 2018, 'Invariant Banach limits and their extreme points', Studia Mathematica, vol. 242, pp. 79 - 107, http://dx.doi.org/10.4064/sm8785-5-2017

Ber A; Chilin V; Sukochev F; Zanin D, 2018, 'Fuglede-putnam theorem for locally measurable operators', Proceedings of the American Mathematical Society, vol. 146, pp. 1681 - 1692, http://dx.doi.org/10.1090/proc/13845

Ber A; Sukochev F; Zanin D, 2018, 'Heisenberg relation for locally measurable operators', Advances in Mathematics, vol. 335, pp. 211 - 230, http://dx.doi.org/10.1016/j.aim.2018.07.010

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, vol. 19, pp. 1993 - 2019, http://dx.doi.org/10.1007/s00023-018-0675-5

Caspers M; Sukochev F; Zanin D, 2018, 'Weak type operator Lipschitz and commutator estimates for commuting tuples', Annales de l'Institut Fourier, vol. 68, pp. 1643 - 1669, http://dx.doi.org/10.5802/aif.3195

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, vol. 90, http://dx.doi.org/10.1007/s00020-018-2445-7

Sadovskaya O; Sukochev F, 2018, 'Isomorphic classification of Lp,q-spaces: The case p = 2, 1 ≤ q < 2', Proceedings of the American Mathematical Society, vol. 146, pp. 3975 - 3984, http://dx.doi.org/10.1090/proc/14058

Scheckter TT; Sukochev F, 2018, 'Weak Type Estimates for the Noncommutative Vilenkin–Fourier Series', Integral Equations and Operator Theory, vol. 90, http://dx.doi.org/10.1007/s00020-018-2489-8

Sukochev F; Veksler A, 2018, 'Positive Linear Isometries in Symmetric Operator Spaces', Integral Equations and Operator Theory, vol. 90, http://dx.doi.org/10.1007/s00020-018-2483-1

Sukochev F; Zanin D, 2018, 'Ac*-Algebraicapproach Totheprincipalsymbol. I', Journal of Operator Theory, vol. 80, pp. 481 - 522, http://dx.doi.org/10.7900/jot.2017nov02.2176

Sukochev F; Zanin D, 2018, 'Connes Integration Formula for the Noncommutative Plane', Communications in Mathematical Physics, vol. 359, pp. 449 - 466, http://dx.doi.org/10.1007/s00220-017-3008-5

Alekhno E; Semenov E; Sukochev F; Usachev A, 2017, 'Order and geometric properties of the set of banach limits', St. Petersburg Mathematical Journal, vol. 28, pp. 299 - 321, http://dx.doi.org/10.1090/spmj/1452

Alekhno EA; Semenov EM; Sukochev FA; Usachev AS, 2017, 'Banach limits: Invariance and functional characteristics', Doklady Mathematics, vol. 96, pp. 305 - 307, http://dx.doi.org/10.1134/S1064562417040019

Ber A; Huang J; Levitina G; Sukochev F, 2017, 'Derivations with values in ideals of semifinite von Neumann algebras', Journal of Functional Analysis, vol. 272, pp. 4984 - 4997, http://dx.doi.org/10.1016/j.jfa.2017.02.010

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, vol. 132, pp. 1 - 61, http://dx.doi.org/10.1007/s11854-017-0003-x

Chilin V; Sukochev F, 2017, 'Blum–Hanson type ergodic theorems in noncommutative symmetric spaces', Journal of Functional Analysis, vol. 273, pp. 329 - 351, http://dx.doi.org/10.1016/j.jfa.2017.03.011

Connes A; Sukochev FA; Zanin DV, 2017, 'Trace theorem for quasi-fuchsian groups', Sbornik Mathematics, vol. 208, pp. 1473 - 1502, http://dx.doi.org/10.1070/SM8794

Dykema K; Sukochev F; Zanin D, 2017, 'An upper triangular decomposition theorem for some unbounded operators affiliated to II1-factors', Israel Journal of Mathematics, vol. 222, pp. 645 - 709, http://dx.doi.org/10.1007/s11856-017-1603-y

Dykema K; Sukochev F; Zanin D, 2017, 'Determinants associated to traces on operator bimodules', Journal of Operator Theory, vol. 78, pp. 119 - 134, http://dx.doi.org/10.7900/jot.2016may31.2123

Huang J; Levitina G; Sukochev F, 2017, 'Completeness of symmetric Δ-normed spaces of τ-measurable operators', Studia Mathematica, vol. 237, pp. 201 - 219, http://dx.doi.org/10.4064/sm8349-10-2016

Jiao Y; Sukochev F; Zanin D; Zhou D, 2017, 'Johnson-Schechtman inequalities for noncommutative martingales', JOURNAL OF FUNCTIONAL ANALYSIS, vol. 272, pp. 976 - 1016, http://dx.doi.org/10.1016/j.jfa.2016.11.002

Junge M; Sukochev F; Zanin D, 2017, 'Embeddings of operator ideals into Lp-spaces on finite von Neumann algebras', Advances in Mathematics, vol. 312, pp. 473 - 546, http://dx.doi.org/10.1016/j.aim.2017.03.031

Lord S; McDonald E; Sukochev F; Zanin D, 2017, 'Quantum differentiability of essentially bounded functions on Euclidean space', Journal of Functional Analysis, vol. 273, pp. 2353 - 2387, http://dx.doi.org/10.1016/j.jfa.2017.06.020

Potapov D; Skripka A; Sukochev F; Tomskova A, 2017, 'Multilinear Schur multipliers and Schatten properties of operator Taylor remainders', Advances in Mathematics, vol. 320, pp. 1063 - 1098, http://dx.doi.org/10.1016/j.aim.2017.09.012

Sukochev F; Tulenov K; Zanin D, 2017, 'Nehari-Type Theorem for Non-commutative Hardy Spaces', Journal of Geometric Analysis, vol. 27, pp. 1789 - 1802, http://dx.doi.org/10.1007/s12220-016-9740-9

Sukochev F; Usachev A; Zanin D, 2017, 'Singular traces and residues of the ζ-function', Indiana University Mathematics Journal, vol. 66, pp. 1107 - 1144, http://dx.doi.org/10.1512/iumj.2017.66.6106

Sukochev F; Veksler A, 2017, 'Mean ergodic theorem in symmetric spaces', Comptes Rendus Mathematique, vol. 355, pp. 559 - 562, http://dx.doi.org/10.1016/j.crma.2017.03.014

Sukochev F; Zanin D, 2017, 'Fubini theorem in noncommutative geometry', Journal of Functional Analysis, vol. 272, pp. 1230, http://dx.doi.org/10.1016/j.jfa.2016.10.016

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, vol. 222, pp. 125 - 164, http://dx.doi.org/10.1007/s11856-017-1585-9

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

Alekhno E; Semenov E; Sukochev F; Usachev A, 2016, 'On the structure of invariant Banach limits', Comptes Rendus Mathematique, vol. 354, pp. 1195 - 1199, http://dx.doi.org/10.1016/j.crma.2016.10.007

Astashkin SV; Sukochev FA, 2016, 'Randomized Operators on n× n Matrices and Applications', Integral Equations and Operator Theory, vol. 86, pp. 333 - 358, http://dx.doi.org/10.1007/s00020-016-2322-1

Aubrun G; Sukochev F; Zanin D, 2016, 'CATALYSIS IN THE TRACE CLASS AND WEAK TRACE CLASS IDEALS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 144, pp. 2461 - 2471, http://dx.doi.org/10.1090/proc/12889

Ayre PJ; Cowling MG; Sukochev FA, 2016, 'Operator Lipschitz estimates in the unitary setting', Proceedings of the American Mathematical Society, vol. 144, pp. 1053 - 1057, http://dx.doi.org/10.1090/proc/12833

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, vol. 28, http://dx.doi.org/10.1142/S0129055X16300028

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, vol. 6, pp. 747 - 779, http://dx.doi.org/10.4171/JST/140

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, vol. 289, pp. 575 - 609, http://dx.doi.org/10.1002/mana.201500065

Carey A; Gesztesy F; Levitina G; Sukochev F, 2016, 'On the index of a non-Fredholm model operator', Operators and Matrices, vol. 10, pp. 881 - 914, http://dx.doi.org/10.7153/oam-10-50

Carey AL; Rennie A; Sukochev F; Zanin D, 2016, 'Universal measurability and the Hochschild class of the Chern character', Journal of Spectral Theory, vol. 6, pp. 1 - 41, http://dx.doi.org/10.4171/JST/116

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, vol. 271, pp. 1747 - 1763, http://dx.doi.org/10.1016/j.jfa.2016.05.015

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, vol. 113, pp. 113 - 139, http://dx.doi.org/10.1112/plms/pdw024

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, vol. 368, pp. 4315 - 4355, http://dx.doi.org/10.1090/tran/6477

Dykema K; Noles J; Sukochev F; Zanin D, 2016, 'On reduction theory and Brown measure for closed unbounded operators', Journal of Functional Analysis, vol. 271, pp. 3403 - 3422, http://dx.doi.org/10.1016/j.jfa.2016.09.015

Dykema K; Sukochev F; Zanin D, 2016, 'Algebras of Log-Integrable Functions and Operators', Complex Analysis and Operator Theory, vol. 10, pp. 1775 - 1787, http://dx.doi.org/10.1007/s11785-016-0569-9

Jiao Y; Sukochev F; Xie G; Zanin D, 2016, 'Φ-moment inequalities for independent and freely independent random variables', Journal of Functional Analysis, vol. 270, pp. 4558 - 4596, http://dx.doi.org/10.1016/j.jfa.2016.02.001

Jiao Y; Sukochev F; Zanin D, 2016, 'Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory', Journal of the London Mathematical Society, vol. 94, pp. 113 - 140, http://dx.doi.org/10.1112/jlms/jdw024

Potapov D; Skripka A; Sukochev F, 2016, 'Functions of unitary operators: Derivatives and trace formulas', Journal of Functional Analysis, vol. 270, pp. 2048 - 2072, http://dx.doi.org/10.1016/j.jfa.2016.01.001

Rozendaal J; Sukochev F; Tomskova A, 2016, 'Operator lipschitz functions on Banach spaces', Studia Mathematica, vol. 232, pp. 57 - 92, http://dx.doi.org/10.4064/sm8499-3-2016

Sukochev F, 2016, 'Hölder inequality for symmetric operator spaces and trace property of K-cycles', Bulletin of the London Mathematical Society, vol. 48, pp. 637 - 647, http://dx.doi.org/10.1112/blms/bdw022

Sukochev F; Usachev A, 2016, 'Dixmier traces and non-commutative analysis', Journal of Geometry and Physics, vol. 105, pp. 102 - 122, http://dx.doi.org/10.1016/j.geomphys.2016.03.010

Usachev A; Sukochev F, 2016, 'Characterization of singular traces on the weak trace class ideal generated by exponentiation invariant extended limits', Commentationes Mathematicae, vol. 55, http://dx.doi.org/10.14708/cm.v55i2.1102

Alekhno EA; Semenov EM; Sukochev FA; Usachev AS, 2015, 'Order properties of the set of Banach limits', Doklady Mathematics, vol. 91, pp. 20 - 22, http://dx.doi.org/10.1134/S1064562415010068

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, vol. 230, pp. 41 - 57, http://dx.doi.org/10.4064/sm8089-1-2016

Carey AL; Gayral V; Phillips J; Rennie A; Sukochev FA, 2015, 'Spectral flow for nonunital spectral triples', Canadian Journal of Mathematics, vol. 67, pp. 759 - 794, http://dx.doi.org/10.4153/CJM-2014-042-x

Caspers M; Potapov D; Sukochev F; Zanin D, 2015, 'Weak type estimates for the absolute value mapping', Journal of Operator Theory, vol. 73, pp. 361 - 384, http://dx.doi.org/10.7900/jot.2013dec20.2021

Dykema K; Sukochev F; Zanin D, 2015, 'A decomposition theorem in II1-factors', Journal fur die Reine und Angewandte Mathematik, vol. 2015, pp. 97 - 114, http://dx.doi.org/10.1515/crelle-2013-0084

Dykema K; Sukochev F; Zanin D, 2015, 'Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras', Illinois Journal of Mathematics, vol. 59, pp. 819 - 824, http://dx.doi.org/10.1215/ijm/1475266410

Potapov D; Skripka A; Sukochev F, 2015, 'Trace formulas for resolvent comparable operators', Advances in Mathematics, vol. 272, pp. 630 - 651, http://dx.doi.org/10.1016/j.aim.2014.12.016

Potapov D; Sukochev F; Tomskova A, 2015, 'On the Arazy conjecture concerning Schur multipliers on Schatten ideals', Advances in Mathematics, vol. 268, pp. 404 - 422, http://dx.doi.org/10.1016/j.aim.2014.09.021

Potapov D; Sukochev F; Usachev A; Zanin D, 2015, 'Singular traces and perturbation formulae of higher order', Journal of Functional Analysis, vol. 269, pp. 1441 - 1481, http://dx.doi.org/10.1016/j.jfa.2015.04.019

Sedaev AA; Semenov EM; Sukochev FA, 2015, 'Fully symmetric function spaces without an equivalent Fatou norm', Positivity, vol. 19, pp. 419 - 437, http://dx.doi.org/10.1007/s11117-014-0305-5

Semenov E; Sukochev F; Usachev A; Zanin D, 2015, 'Banach limits and traces on L1,∞', Advances in Mathematics, vol. 285, pp. 568 - 628, http://dx.doi.org/10.1016/j.aim.2015.08.010

Алехно ЕА; Семенов ЕМ; Сукочев ФА; Усачев АС, 2015, 'Порядковые свойства множества банаховых пределов', Доклады Академии наук, vol. 460, pp. 131 - 132, http://dx.doi.org/10.7868/s0869565215020036

Astashkin S; Sukochev FA; Zanin D, 2014, 'Disjointification inequalities in symmetric quasi-banach spaces and their applications', Pacific Journal of Mathematics, vol. 270, pp. 257 - 285, http://dx.doi.org/10.2140/pjm.2014.270.257

Astashkin SV; Sukochev FA, 2014, 'Orlicz sequence spaces spanned by identically distributed independent random variables in Lp-spaces', Journal of Mathematical Analysis and Applications, vol. 413, pp. 1 - 19, http://dx.doi.org/10.1016/j.jmaa.2013.11.023

Ber AF; Chilin VI; Sukochev FA, 2014, 'Continuous derivations on algebras of locally measurable operators are inner', Proceedings of the London Mathematical Society, vol. 109, pp. 65 - 89, http://dx.doi.org/10.1112/plms/pdt070

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, vol. 79, pp. 389 - 447, http://dx.doi.org/10.1007/s00020-014-2150-0

Caspers M; Montgomery-Smith S; Potapov D; Sukochev F, 2014, 'The best constants for operator Lipschitz functions on Schatten classes', Journal of Functional Analysis, vol. 267, pp. 3557 - 3579, http://dx.doi.org/10.1016/j.jfa.2014.08.018

Dodds PG; Dodds TK; Sukochev FA, 2014, 'On p-Convexity and q-Concavity in Non-Commutative Symmetric Spaces', Integral Equations and Operator Theory, vol. 78, pp. 91 - 114, http://dx.doi.org/10.1007/s00020-013-2082-0

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

Gayral V; Sukochev F, 2014, 'Dixmier traces and extrapolation description of noncommutative Lorentz spaces', Journal of Functional Analysis, vol. 266, pp. 6256 - 6317, http://dx.doi.org/10.1016/j.jfa.2014.02.036

Levitina G; Pietsch A; Sukochev FA; Zanin D, 2014, 'Completeness of quasi-normed operator ideals generated by s-numbers', Indagationes Mathematicae, vol. 25, pp. 49 - 58, http://dx.doi.org/10.1016/j.indag.2013.07.005

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

Potapov D; Skripka A; Sukochev F, 2014, 'Higher-order spectral shift for contractions', Proceedings of the London Mathematical Society, vol. 108, pp. 327 - 349, http://dx.doi.org/10.1112/plms/pdt024

Potapov D; Sukochev F, 2014, 'Frechet differentiability of S-p norms', ADVANCES IN MATHEMATICS, vol. 262, pp. 436 - 475, http://dx.doi.org/10.1016/j.aim.2014.05.011

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, vol. 352, pp. 923 - 927, http://dx.doi.org/10.1016/j.crma.2014.09.017

Potapov D; Sukochev F; Zanin D, 2014, 'Krein's trace theorem revisited', Journal of Spectral Theory, vol. 4, pp. 415 - 430, http://dx.doi.org/10.4171/JST/75

Semenov EM; Sukochev FA, 2014, 'Sums and intersections of symmetric operator spaces', Journal of Mathematical Analysis and Applications, vol. 414, pp. 742 - 755, http://dx.doi.org/10.1016/j.jmaa.2013.12.039

Semenov EM; Sukochev FA; Usachev AS, 2014, 'Geometric properties of the set of Banach limits', Izvestiya Mathematics, vol. 78, pp. 596 - 620, http://dx.doi.org/10.1070/IM2014v078n03ABEH002700

Sukochev F, 2014, 'Completeness of quasi-normed symmetric operator spaces', Indagationes Mathematicae, vol. 25, pp. 376 - 388, http://dx.doi.org/10.1016/j.indag.2012.05.007

Sukochev F; Usachev A; Zanin D, 2014, 'Dixmier traces generated by exponentiation invariant generalised limits', Journal of Noncommutative Geometry, vol. 8, pp. 321 - 336, http://dx.doi.org/10.4171/JNCG/158

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

Sukochev F; Zanin D, 2014, 'Dixmier traces are weak^* dense in the set of all fully symmetric traces', Journal of Functional Analysis, vol. 266, pp. 6158 - 6173, http://dx.doi.org/10.1016/j.jfa.2014.03.001

Sukochev F; Zanin D, 2014, 'Which traces are spectral?', Advances in Mathematics, vol. 252, pp. 406 - 428, http://dx.doi.org/10.1016/j.aim.2013.10.028

Astashkin SV; Sukochev F; Wong CP, 2013, 'Distributionally concave symmetric spaces and uniqueness of symmetric structure', Advances in Mathematics, vol. 232, pp. 399 - 431, http://dx.doi.org/10.1016/j.aim.2012.08.013

Ber A; Chilin V; Sukochev F, 2013, 'Continuity of derivations of algebras of locally measurable operators', Integral Equations and Operator Theory, vol. 75, pp. 527 - 557, http://dx.doi.org/10.1007/s00020-013-2039-3

Ber AF; Sukochev FA, 2013, 'Commutator estimates in von Neumann algebras', Functional Analysis and its Applications, vol. 47, pp. 62 - 63, http://dx.doi.org/10.1007/s10688-013-0007-y

Caspers ; Potapov D; Sukochev F, 2013, 'The Walsh basis in the Lp-spaces of hyperfinite IIIλ factors, 0', Journal of Mathematical Analysis and Applications, vol. 408, pp. 154 - 164, http://dx.doi.org/10.1016/j.jmaa.2013.06.003

Flint GH; De Pagter B; Sukochev FA, 2013, 'The Dixmier approximation theorem in algebras of measurable operators', Proceedings of the American Mathematical Society, vol. 141, pp. 909 - 918, http://dx.doi.org/10.1090/S0002-9939-2012-11479-0

Kalton N; Lord S; Potapov D; Sukochev F, 2013, 'Traces of compact operators and the noncommutative residue', Advances in Mathematics, vol. 235, pp. 1 - 55, http://dx.doi.org/10.1016/j.aim.2012.11.007

Potapov D; Skripka A; Sukochev F, 2013, 'On Hilbert-Schmidt compatibility', Operators and Matrices, vol. 7, pp. 1 - 33, http://dx.doi.org/10.7153/oam-07-01

Potapov D; Skripka A; Sukochev F, 2013, 'Spectral shift function of higher order', Inventiones Mathematicae, vol. 193, pp. 501 - 538, http://dx.doi.org/10.1007/s00222-012-0431-2

Sedaev AA; Sukochev FA, 2013, 'Dixmier measurability in Marcinkiewicz spaces and applications', Journal of Functional Analysis, vol. 265, pp. 3053 - 3066, http://dx.doi.org/10.1016/j.jfa.2013.08.014

Semenov E; Sukochev F, 2013, 'Extreme points of the set of Banach limits', Positivity, vol. 17, pp. 163 - 170, http://dx.doi.org/10.1007/s11117-011-0155-3

Semenov EM; Sukochev FA, 2013, 'Function spaces with extremal properties', Doklady Mathematics, vol. 87, pp. 175 - 177, http://dx.doi.org/10.1134/S1064562413020142

Sukochev F; Tomskova A, 2013, '(E, F)-Schur multipliers and applications', Studia Mathematica, vol. 216, pp. 111 - 129, http://dx.doi.org/10.4064/sm216-2-2

Sukochev F; Usachev A; Zanin D, 2013, 'Generalized limits with additional invariance properties and their applications to noncommutative geometry', Advances in Mathematics, vol. 239, pp. 164 - 189, http://dx.doi.org/10.1016/j.aim.2013.02.012

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, vol. 141, pp. 2169 - 2179, http://dx.doi.org/10.1090/S0002-9939-2012-11853-2

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

Ber A; Sukochev F, 2012, 'Commutator estimates in W *-algebras', Journal of Functional Analysis, vol. 262, pp. 537 - 568, http://dx.doi.org/10.1016/j.jfa.2011.09.018

Ber A; Sukochev F, 2012, 'Commutator estimates in W*-factors', Transactions of the American Mathematical Society, vol. 364, pp. 5571 - 5587, http://dx.doi.org/10.1090/S0002-9947-2012-05568-1

Ber AF; Chilin VI; Levitina GB; Sukochev FA, 2012, 'Derivations on symmetric quasi-Banach ideals of compact operators', Journal of Mathematical Analysis and Applications, vol. 397, pp. 628 - 643, http://dx.doi.org/10.1016/j.jmaa.2012.07.068

Carey AL; Gayral V; Rennie A; Sukochev F, 2012, 'Integration on locally compact noncommutative spaces', Journal of Functional Analysis, vol. 263, pp. 383 - 414, http://dx.doi.org/10.1016/j.jfa.2012.04.015

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, vol. 188, pp. 195 - 219, http://dx.doi.org/10.1007/s11856-011-0120-7

Potapov D; Sukochev F, 2012, 'Koplienko Spectral Shift Function on the Unit Circle', Communications in Mathematical Physics, vol. 309, pp. 693 - 702, http://dx.doi.org/10.1007/s00220-011-1338-2

Potapov D; Sukochev F; Xu Q, 2012, 'On the vector-valued Littlewood-Paley-Rubio de Francia inequality', Revista Matematica Iberoamericana, vol. 28, pp. 839 - 856, http://dx.doi.org/10.4171/RMI/693

Sukochev F, 2012, 'On the A. M. Bikchentaev conjecture', Russian Mathematics, vol. 56, pp. 57 - 59, http://dx.doi.org/10.3103/S1066369X12060084

Sukochev F; Carey AL, 2012, 'Measurable operators and the asymptotics of heat kernels and zeta functions', Journal of Functional Analysis, vol. 262, pp. 4582 - 4599, http://dx.doi.org/10.1016/j.jfa.2012.03.008

Sukochev F; Tomskova AA, 2012, 'Schur multipliers associated with symmetric sequence spaces', Mathematical Notes, vol. 92, pp. 830 - 833, http://dx.doi.org/10.1134/S0001434612110284

Sukochev F; Zanin DV, 2012, 'Johnson-Schectman inequalities in the free probability theory', Journal of Functional Analysis, vol. 263, pp. 2921 - 2948, http://dx.doi.org/10.1016/j.jfa.2012.07.012

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2011, 'Functions of normal operators under perturbations', Advances in Mathematics, vol. 226, pp. 5216 - 5251, http://dx.doi.org/10.1016/j.aim.2011.01.008

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, vol. 184, pp. 455 - 476, http://dx.doi.org/10.1007/s11856-011-0076-7

Astashkin S; Sukochev F; Wong C, 2011, 'Disjointification of martingale differences and conditionally independent random variables with some applications', Studia Mathematica, vol. 205, pp. 171 - 200, http://dx.doi.org/10.4064/sm205-2-3

Ber AF; De pagter B; Sukochev F, 2011, 'Derivations in algebras of operator-valued functions', Journal of Operator Theory, vol. 66, pp. 261 - 300

Dirksen S; De Pagter B; Potapov D; Sukochev F, 2011, 'Rosenthal inequalities in noncommutative symmetric spaces', Journal of Functional Analysis, vol. 261, pp. 2890 - 2925, http://dx.doi.org/10.1016/j.jfa.2011.07.015

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, vol. 227, pp. 319 - 420, http://dx.doi.org/10.1016/j.aim.2011.01.022

Kalton N; Sedaev A; Sukochev F, 2011, 'Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces', Advances in Mathematics, vol. 226, pp. 3540 - 3549, http://dx.doi.org/10.1016/j.aim.2010.09.025

Kissin E; Potapov D; Shulman V; Sukochev F, 2011, 'Lipschitz functions, Schatten ideals, and unbounded derivations', Functional Analysis and Its Applications, vol. 45, pp. 157 - 159, http://dx.doi.org/10.1007/s10688-011-0018-5

Lord S; Sukochev FA, 2011, 'Noncommutative residues and a characterisation of the noncommutative integral', Proceedings of the American Mathematical Society, vol. 139, pp. 243 - 243, http://dx.doi.org/10.1090/S0002-9939-2010-10472-0

Potapov D; Sukochev F, 2011, 'Operator-Lipschitz functions in Schatten-von Neumann classes', ACTA Mathematica, vol. 207, pp. 375 - 389, http://dx.doi.org/10.1007/s11511-012-0072-8

Potapov D; Sukochev F, 2011, 'The Haar system in the preduals of hyperfinite factors', Canadian Mathematical Bulletin, vol. 54, pp. 347 - 363, http://dx.doi.org/10.4153/CMB-2011-007-7

Semenov EM; Sukochev FA; Usachev AS, 2011, 'Structure properties of the Banach limit set', Doklady Mathematics, vol. 84, pp. 802 - 803, http://dx.doi.org/10.1134/S1064562411070155

Sukochev F; Zanin DV, 2011, 'ζ-function and heat kernel formulae', Journal of Functional Analysis, vol. 260, pp. 2451 - 2482, http://dx.doi.org/10.1016/j.jfa.2010.10.007

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, 'Functions of perturbed normal operators', Comptes Rendus Mathematique, vol. 348, pp. 553 - 558, http://dx.doi.org/10.1016/j.crma.2010.04.015

Astashkin S; Sukochev F, 2010, 'Best constants in Rosenthal-type inequalities and the Kruglov operator', Annals of Probability, vol. 38, pp. 1986 - 2008, http://dx.doi.org/10.1214/10-AOP529

Astashkin SV; Sukochev FA, 2010, 'Independent functions and the geometry of Banach spaces', Russian Mathematical Surveys, vol. 65, pp. 1003 - 1081, http://dx.doi.org/10.1070/RM2010v065n06ABEH004715

Ber A; De pagter B; Sukochev F, 2010, 'Notes on derivations on algebras of measurable operators', Mathematical Notes, vol. 87, pp. 502 - 513, http://dx.doi.org/10.1134/S0001434610030259

Kalton N; Sukochev F; Zanin DV, 2010, 'Orbits in symmetric spaces, II', Studia Mathematica, vol. 197, pp. 257 - 274, http://dx.doi.org/10.4064/sm197-3-4

Lord S, 2010, 'Measure Theory in Noncommutative Spaces', Symmetry, Integrability and Geometry: Methods and Applications, vol. 6, http://dx.doi.org/10.3842/SIGMA.2010.072

Lord S; Potapov D; Sukochev F, 2010, 'Measures from Dixmier traces and zeta functions', Journal of Functional Analysis, vol. 259, pp. 1915 - 1949, http://dx.doi.org/10.1016/j.jfa.2010.06.012

Lord S; Sukochev F, 2010, 'Measure theory in noncommutative spaces', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), vol. 6, http://dx.doi.org/10.3842/SIGMA.2010.072

Potapov D; Sukochev F, 2010, 'Double operator integrals and submajorization', Mathematical Modelling of Natural Phenomena (MMNP), vol. 5, pp. 317 - 339, http://dx.doi.org/10.1051/mmnp/20105401

Sedaev A; Sukochev F; Zanin DV, 2010, 'Lidskii-Type Formulae for Dixmier Traces', Integral Equations and Operator Theory, vol. 68, pp. 551 - 572, http://dx.doi.org/10.1007/s00020-010-1828-1

Semenov E; Sukochev F, 2010, 'Characteristic functions of Banach limits', Siberian Mathematical Journal, vol. 51, pp. 723 - 727, http://dx.doi.org/10.1007/s11202-010-0073-9

Semenov E; Sukochev F, 2010, 'Invariant Banach limits and applications', Annals of Probability, vol. 259, pp. 1517 - 1541, http://dx.doi.org/10.1016/j.jfa.2010.05.011

Astashkin S; Semenov E; Sukochev F, 2009, 'BANACH-SAKS TYPE PROPERTIES IN REARRANGEMENT-INVARIANT SPACES WITH THE KRUGLOV PROPERTY', Houston Journal of Mathematics, vol. 35, pp. 959 - 973

Astashkin S; Zanin DV; Semenov E; Sukochev F, 2009, 'Kruglov operator and operators defined by random permutations', Functional Analysis and Its Applications, vol. 43, pp. 83 - 95, http://dx.doi.org/10.1007/s10688-009-0013-2

Azamov N; Carey AL; Dodds P; Sukochev F, 2009, 'Operator integrals, spectral shift, and spectral flow', Canadian Journal of Mathematics - Journal Canadien de Mathematiques, vol. 61, pp. 241 - 263, http://dx.doi.org/10.4153/CJM-2009-012-0

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, vol. 222, pp. 1809 - 1849, http://dx.doi.org/10.1016/j.aim.2009.06.020

Potapov D; Sukochev F, 2009, 'Unbounded Fredholm modules and double operator integrals', Journal fur die Reine und Angewandte Mathematik, vol. 626, pp. 159 - 185, http://dx.doi.org/10.15.15/CRELLE.2008

Potapov D; Sukochev F, 2009, 'Unbounded Fredholm modules and double operator integrals', Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2009, http://dx.doi.org/10.1515/crelle.2009.006

Sukochev F; Dodds PG, 2009, 'Submajorisation inequalities for convex and concave functions of sums of measurable operators', Positivity, vol. 13, pp. 107 - 124, http://dx.doi.org/10.1007/s11117-008-2206-y

Sukochev F; Zanin DV, 2009, 'Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces', Studia Mathematica, vol. 191, pp. 101 - 122, http://dx.doi.org/10.4064/sm191-2-1

Sukochev F; Zanin DV, 2009, 'Orbits in symmetric spaces', Journal of Functional Analysis, vol. 257, pp. 194 - 218, http://dx.doi.org/10.1016/j.jfa.2009.01.025

Astashkin SV; Sukochev FA, 2008, 'Series of independent, mean zero random variables in rearrangement-invariant spaces having the Kruglov property', Journal of Mathematical Sciences, vol. 148, pp. 795 - 809, http://dx.doi.org/10.1007/s10958-008-0026-z

Novikova AI; Semenov EM; Sukochev FA, 2008, 'Banach-Saks index in spaces with symmetric basis', Doklady Mathematics, vol. 77, pp. 396 - 397, http://dx.doi.org/10.1134/s1064562408030204

Potapov D; Sukochev F, 2008, 'Lipschitz and commutator estimates in symmetric operator spaces', Journal of Operator Theory, vol. 59, pp. 211 - 234

Sukochev F; Astashkin S; Kalton N, 2008, 'A Cesaro mean convergence of martingale differences in rearrangement nvariant spaces', Positivity, vol. 12, pp. 387 - 406, http://dx.doi.org/10.1007/s11117-007-2146-y

Sukochev F; Azamov N, 2008, 'Spectral averaging for trace compatible operators', Proceedings of the American Mathematical Society, vol. 136, pp. 1769 - 1778, http://dx.doi.org/10.1090/S0002-9939-08-09210-1

Sukochev F; Carey AL; Phillips J; Rennie A, 2008, 'The Chern character of semifinite spectral triples', Journal of Noncommutative Geometry, vol. 2, pp. 141 - 193, http://dx.doi.org/10.4171/JNCG/18

Sukochev F; Kalton N, 2008, 'Rearrangement-invariant functionals with applications to traces on symmetrically', Canadian Mathematical Bulletin, vol. 51, pp. 67 - 80, http://dx.doi.org/10.4153/CMB-2008-009-3

Sukochev F; Kalton N, 2008, 'Symmetric norms and spaces of operators', Journal fur die Reine und Angewandte Mathematik, vol. 621, pp. 81 - 121, http://dx.doi.org/10.1515/CRELLE.2008.059

Sukochev F; Le merdy C, 2008, 'Rademacher averages on noncommutative symmetric spaces', Journal of Functional Analysis, vol. 255, pp. 3329 - 3355, http://dx.doi.org/10.1016/j.jfa.2008.05.002

Sukochev F; Novikova A; Semenov E, 2008, 'The Banach-Saks index of spaces with a symmetric basis', Dokl. Akad. Nauk, vol. 420, pp. 314 - 315

Potapov D; Sukochev F, 2007, 'Non-(quantum) differentiable C1-functions in the spaces with trivial Boyd indices', Integral Equations and Operator Theory, vol. 57, pp. 247 - 261, http://dx.doi.org/10.1007/s00020-006-1468-7

Sukochev F; Astashkin S, 2007, 'Banach-Saks property in Marcinkiewicz spaces', Journal of Mathematical Analysis and Applications, vol. 336, pp. 1231 - 1258, http://dx.doi.org/10.1016/j.jmaa.2007.03.040

Sukochev F; Azamov N; Carey AL, 2007, 'The spectral shift function and spectral flow', Communications in Mathematical Physics, vol. 276, pp. 51 - 91, http://dx.doi.org/10.1007/s00220-007-0329-9

Sukochev F; Carey AL; Rennie A; Sedaev A, 2007, 'The Dixmier trace and asymptotics of zeta functions', Journal of Functional Analysis, vol. 249, pp. 253 - 283, http://dx.doi.org/10.1016/j.jfa.2007.04.011

Sukochev F; De pagter B, 2007, 'Commutator estimates and R-flows in non-commutative operator spaces', Proceedings of the Edinburgh Mathematical Society, vol. 50, pp. 247 - 261

Sukochev F; Dodds P; Dodds T, 2007, 'Banach-Saks properties in symmetric spaces of measurable operators', Studia Mathematica, vol. 178, pp. 125 - 166, http://dx.doi.org/10.4064/sm178-2-2

Sukochev F; Piquard F, 2007, 'The p-Banach-Saks property in symmetric operator spaces', Illinois Journal of Mathematics, vol. 51, pp. 1207 - 1229

Sukochev F; Veselova L; Tikhonov O, 2007, 'Interpolation of positive operators', Mathematical Notes, vol. 81, pp. 37 - 50, http://dx.doi.org/10.1134/S000143460701004X

Astashkin SV; Sukochev FA, 2006, 'Sums of independent functions in symmetric spaces with the Kruglov property', Mathematical Notes, vol. 80, pp. 593 - 598, http://dx.doi.org/10.1007/s11006-006-0179-3

Sukochev F; Astashkin S, 2006, 'Sums of independent functions in symmetric spaces with the Kruglov property,', Mathematical Notes, vol. 80, pp. 630 - 635

Sukochev F; Azamov N; Dodds P, 2006, 'The Krein spectral shift function in semifinite von Neumann algebras', Integral Equations and Operator Theory, vol. 55, pp. 347 - 362, http://dx.doi.org/10.1007/s00020-006-1441-5

Sukochev F; Ber A; Chilin V, 2006, 'Non-trivial derivations on commutative regular algebras', Extracta Mathematicae, vol. 21, pp. 107 - 147

Sukochev F; Carey AL, 2006, 'Dixmier traces and some applications in noncommutative geometry', Russian Mathematical Surveys, vol. 61, pp. 45 - 110

Sukochev F; Carey AL; Phillips J; Rennie A, 2006, 'The local index formula in semifinite von Neumann algebras I: Spectral flow', Advances in Mathematics, vol. 202, pp. 451 - 516, http://dx.doi.org/10.1016/j.aim.2005.03.011

Sukochev F; Carey AL; Rennie A, 2006, 'The local index formula in semifinite von Neumann algebras II: The even case', Advances in Mathematics, vol. 202, pp. 517 - 554, http://dx.doi.org/10.1016/j.aim.2005.03.010

Sukochev F; Pelczynski A, 2006, 'Some remarks on Toeplitz multipliers and Hankel matrices', Studia Mathematica, vol. 175, pp. 175 - 204, http://dx.doi.org/10.4064/sm175-2-5

Sukochev F; Semenov E, 2006, 'Estimates for a quadratic function and the Banach-Saks p-property', St Petersburg Mathematical Journal, vol. 18, pp. 647 - 656

Lord S; Sedaev A; Sukochev F, 2005, 'Dixmier traces as singular symmetric functionals and applications to measurable operators', Journal of Functional Analysis, vol. 224, pp. 72 - 106, http://dx.doi.org/10.1016/j.jfa.2005.01.002

Sukochev F; Astashkin S, 2005, 'Series of independent random variables in rearrangement invariant spaces: an operator approach', Israel Journal of Mathematics, vol. 145, pp. 125 - 156, http://dx.doi.org/10.1007/BF02786688

Sukochev F; Astashkin S; Semenov E, 2005, 'The Banach-Saks p-property', Mathematische Annalen, vol. 332, pp. 879 - 900, http://dx.doi.org/10.1007/s00208-005-0658-y

Sukochev F; Azamov N, 2005, 'A Lidskii type formula for Dixmier traces', Comptes Rendus Mathematique, vol. 340, pp. 107 - 112

Sukochev F; Azamov N, 2005, 'A Lidskii type formula for Dixmier traces', Comptes Rendus Mathematique, vol. 340, pp. 107 - 112

Sukochev F; Dodds P; Dodds T; Tikhonov O, 2005, 'A non-commutative Yosida-Hewitt theorem and convex sets of measurable elements', Positivity, vol. 9, pp. 457 - 484

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, vol. 404, pp. 598 - 600

Sukochev F; Sedaev A; Lord S, 2005, 'Connes-Dixmier traces, singular symmetric functionals, and the concept of Connes-measurable elements', Mathematical Notes, vol. 77, pp. 671 - 676, http://dx.doi.org/10.1007/s11006-005-0067-2

Sukochev F; Van ackooij W; De pagter B, 2005, 'Domains of infinitesimal generators of automorphism flows', Journal of Functional Analysis, vol. 218, pp. 409 - 424, http://dx.doi.org/10.1016/j.jfa.2004.05.004

Astashkin SV; Sukochev FA, 2004, 'Comparison of Sums of Independent and Disjoint Functions in Symmetric Spaces', Mathematical Notes, vol. 76, pp. 449 - 454, http://dx.doi.org/10.1023/b:matn.0000043474.00734.ec

Ber AF; Sukochev FA; Chilin VI, 2004, 'Derivations in Commutative Regular Algebras', Mathematical Notes, vol. 75, pp. 418 - 419, http://dx.doi.org/10.1023/b:matn.0000023321.64184.5a

Lord S; Sedaev AA; Sukochev FA, 2004, 'Connes-dixmier traces, singular symmetric functionals, and measurable elements in the sense of connes', Mathematical Notes, vol. 76, pp. 884 - 889, http://dx.doi.org/10.1023/B:MATN.0000049689.71141.8b

Lord S; Sukochev F; Sedaev A, 2004, 'Connes-Dixmier traces, singular symmetric functionals, and measurable elements in the sense of Connes', Matematicheskie Zametki, vol. 76, pp. 948 - 953

Semenov EM; Sukochev FA, 2004, 'The Banach-Saks index', Sbornik: Mathematics, vol. 195, pp. 263 - 285, http://dx.doi.org/10.1070/sm2004v195n02abeh000802

Sukochev F; Astashkin S, 2004, 'Comparison of sums of independent and disjoint functions in symmetric', Matematicheskie Zametki, vol. 76, pp. 483 - 489

Sukochev F; Ber A; Chilin V, 2004, 'Derivations in commutative regular algebras', Matematicheskie Zametki, vol. 75, pp. 453 - 454

Sukochev F; Carey AL; Phillips J; Rennie A, 2004, 'The Hochschild class of the Chern character for semifinite spectral triples,', Journal of Functional Analysis, vol. 213, pp. 111 - 153, http://dx.doi.org/10.1016/j.jfa.2003.11.016

Sukochev F; De pagter B, 2004, 'Differentiation of operator functions in non-commutative Lp-spaces', Journal of Functional Analysis, vol. 212, pp. 28 - 75, http://dx.doi.org/10.1016/j.jfa.2003.10.009

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, vol. 2, pp. 125 - 173

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, vol. 2, pp. 323 - 356

Sukochev F; Dodds P; Semenov E, 2004, 'The Banach-Saks property in rearrangement invariant spaces', Studia Mathematica, vol. 162, pp. 263 - 294, http://dx.doi.org/10.4064/sm162-3-6

Sukochev F; Semenov E, 2004, 'The Banach-Saks index', Sbornik Mathematics, vol. 195, pp. 117 - 140

Sukochev F; Carey AL; Phillips J, 2003, 'Spectral flow and Dixmier traces', Advances in Mathematics, vol. 173, pp. 68 - 113, http://dx.doi.org/10.1016/S0001-8708(02)00015-4

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, vol. 67, pp. 1187 - 1212, http://dx.doi.org/10.1070/IM2003v067n06ABEH000461

Sukochev F; Haagerup U; Rosenthal H, 2003, 'Banach embedding properties of non-commutative Lp-spaces', Memoirs of the American Mathematical Society, vol. 163

Sukochev F; Xu Q, 2003, 'Embedding of non-commutative Lp-spaces', Archiv der Mathematik, vol. 80, pp. 151 - 164, http://dx.doi.org/10.1007/s00013-003-0461-5

Dodds PG; Semenov EM; Sukochev FA, 2002, 'RUC systems in rearrangement invariant spaces', Studia Mathematica, vol. 151, pp. 161 - 173, http://dx.doi.org/10.4064/sm151-2-4

Dodds PG; Sukochev FA, 2000, 'Non-Commutative Bounded Vilenkin Systems', MATHEMATICA SCANDINAVICA, vol. 87, pp. 73 - 73, http://dx.doi.org/10.7146/math.scand.a-14300

Haagerup U; Rosenthal HP; Sukochev FA, 2000, 'On the Banach-isomorphic classification of Lp spaces of hyperfinite von Neumann algebras', Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 331, pp. 691 - 695, http://dx.doi.org/10.1016/s0764-4442(00)01692-x

Sukochev FA, 2000, 'Linear-topological classification of separableL p-spaces associated with von Neumann algebras of type I', Israel Journal of Mathematics, vol. 115, pp. 137 - 156, http://dx.doi.org/10.1007/bf02810584

Sukochev FA, 2000, 'Operator Estimates for Fredholm Modules', Canadian Journal of Mathematics, vol. 52, pp. 849 - 896, http://dx.doi.org/10.4153/cjm-2000-037-8

Sukochev F, 1996, 'Non-isomorphism of ?_{?}-spaces associated with finite and infinite von Neumann algebras', Proceedings of the American Mathematical Society, vol. 124, pp. 1517 - 1527, http://dx.doi.org/10.1090/s0002-9939-96-03279-0

Sukochev FA, 1996, 'Isometries of symmetric operator spaces associated with AFD factors of typeII and symmetric vector-valued spaces', Integral Equations and Operator Theory, vol. 26, pp. 102 - 124, http://dx.doi.org/10.1007/bf01229507

Sukochev FA, 1995, 'On the uniform Kadec-Klee property with respect to convergence in measure', Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, vol. 59, pp. 343 - 352, http://dx.doi.org/10.1017/s1446788700037241

Sukochev FA; Sheremetyev VE, 1995, 'The Linear Groups of Injective Factors and of Matroid $C^*$-Algebras are Contractible to a Point.', MATHEMATICA SCANDINAVICA, vol. 77, pp. 119 - 119, http://dx.doi.org/10.7146/math.scand.a-12553

Sukochev FA, 1992, 'The property (MLUR) in symmetric (KB)-spaces', Mathematical Notes, vol. 52, pp. 1280 - 1282, http://dx.doi.org/10.1007/bf01209383

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

Frank RL; Sukochev F; Zanin D, 2022, Asymptotics of singular values for quantum derivatives, http://dx.doi.org/10.48550/arxiv.2209.12559

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

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

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

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

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

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

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

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

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

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

Ber A; Kudaybergenov K; Sukochev F, 2019, Notes on derivations of Murray--von Neumann algebras, http://dx.doi.org/10.48550/arxiv.1906.00243

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

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

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

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

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

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

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

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

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

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

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

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

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

Levitina G; Sukochev F; Zanin D, 2017, Cwikel estimates revisited, http://dx.doi.org/10.48550/arxiv.1703.04254

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

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

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

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

Jiao Y; Sukochev F; Zanin D; Zhou D, 2016, Johnson-Schechtman inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.1612.04452

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

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

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

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

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

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

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

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

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

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

Dykema K; Sukochev F; Zanin D, 2015, Algebras of log-integrable functions and operators, http://dx.doi.org/10.48550/arxiv.1509.03360

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

Rozendaal J; Sukochev F; Tomskova A, 2015, Operator Lipschitz functions on Banach spaces, http://dx.doi.org/10.48550/arxiv.1501.03267

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

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

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

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

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

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

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

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

Gayral V; Sukochev F, 2013, Dixmier traces and extrapolation description of noncommutative Lorentz spaces, http://dx.doi.org/10.48550/arxiv.1302.1367

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

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

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

Potapov D; Skripka A; Sukochev F, 2012, Higher order spectral shift for contractions, http://dx.doi.org/10.48550/arxiv.1210.8227

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

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

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, Functions of normal operators under perturbations, http://dx.doi.org/10.48550/arxiv.1008.1638

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, Functions of perturbed normal operators, http://dx.doi.org/10.48550/arxiv.1003.5286

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

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

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

Carey A; Gayral V; Rennie A; Sukochev F, 2009, Integration on locally compact noncommutative spaces, http://dx.doi.org/10.48550/arxiv.0912.2817

Lord S; Sukochev FA, 2009, Noncommutative Residues and a Characterisation of the Noncommutative Integral, http://dx.doi.org/10.48550/arxiv.0905.0187

Potapov D; Skripka A; Sukochev F, 2009, Spectral shift function of higher order, http://dx.doi.org/10.48550/arxiv.0912.3056

Merdy CL; Sukochev F, 2008, Rademacher averages on noncommutative symmetric spaces, http://dx.doi.org/10.48550/arxiv.0803.4404

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

Azamov NA; Carey AL; Sukochev FA, 2007, The spectral shift function and spectral flow, http://dx.doi.org/10.48550/arxiv.0705.1392