Senior Lecturer

Dr Dmitriy Zanin

Science
School of Mathematics & Statistics

Dmitriy Zanin is a Senior Lecturer in the School of Mathematics and Statistics in the Faculty of Science at UNSW. He is a member of the Functional and Harmonic Analysis Group which studies functions and the functions of functions, with applications ranging from quantum physics to signal processing.

Location
School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red Centre Room RC-6104
  • Books | 2012
    Lord S; Sukochev F; Zanin DV, 2012, Singular Traces: Theory and Applications, Original, Walter de Gruyter GmbH, Germany
  • 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
  • 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, vol. 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, vol. 179, pp. 104608 - 104608, http://dx.doi.org/10.1016/j.geomphys.2022.104608
    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, vol. 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, vol. 282, pp. 109451 - 109451, http://dx.doi.org/10.1016/j.jfa.2022.109451
    Journal articles | 2022
    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
    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, vol. 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, vol. 265, pp. 241 - 256, http://dx.doi.org/10.4064/sm201201-4-11
    Journal articles | 2022
    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
    Journal articles | 2021
    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
    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, vol. 244, pp. 245 - 271, http://dx.doi.org/10.1007/s11856-021-2179-0
    Journal articles | 2021
    Jiao Y; Sukochev F; Xie G; Zanin D, 2021, 'Free Rosenthal Inequalities on Vector-Valued Symmetric Operator Spaces', INTERNATIONAL MATHEMATICS RESEARCH NOTICES, http://dx.doi.org/10.1093/imrn/rnab197
    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, vol. 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, vol. 149, pp. 3813 - 3817, http://dx.doi.org/10.1090/proc/15442
    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, vol. 377, pp. 2597 - 2628, http://dx.doi.org/10.1007/s00220-020-03756-7
    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, vol. 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, vol. 72, pp. 1188 - 1245, http://dx.doi.org/10.4153/S0008414X19000282
    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, vol. 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, vol. 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, vol. 31, pp. 809 - 830, http://dx.doi.org/10.1016/j.indag.2020.02.004
    Journal articles | 2020
    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
    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, vol. 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, vol. 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, vol. 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, vol. 279, http://dx.doi.org/10.1016/j.jfa.2020.108664
    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, vol. 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, vol. 306, pp. 357 - 373, http://dx.doi.org/10.2140/pjm.2020.306.357
    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, vol. 141, pp. 593 - 610, http://dx.doi.org/10.1353/ajm.2019.0019
    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, vol. 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, vol. 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
    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
    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
    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
    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
    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
    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, vol. 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, vol. 335, pp. 211 - 230, http://dx.doi.org/10.1016/j.aim.2018.07.010
    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, vol. 68, pp. 1643 - 1669, http://dx.doi.org/10.5802/aif.3195
    Journal articles | 2018
    Dykema K; Noles J; Zanin D, 2018, 'Decomposability and Norm Convergence Properties in Finite von Neumann Algebras', Integral Equations and Operator Theory, vol. 90, http://dx.doi.org/10.1007/s00020-018-2480-4
    Journal articles | 2018
    Jiao Y; Zhou D; Wu L; Zanin D, 2018, 'Noncommutative dyadic martingales and Walsh–Fourier series', Journal of the London Mathematical Society, vol. 97, pp. 550 - 574, http://dx.doi.org/10.1112/jlms.12121
    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, vol. 90, http://dx.doi.org/10.1007/s00020-018-2445-7
    Journal articles | 2018
    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
    Journal articles | 2018
    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
    Journal articles | 2017
    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
    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, vol. 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, vol. 78, pp. 119 - 134, http://dx.doi.org/10.7900/jot.2016may31.2123
    Journal articles | 2017
    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
    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, vol. 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, vol. 273, pp. 2353 - 2387, http://dx.doi.org/10.1016/j.jfa.2017.06.020
    Journal articles | 2017
    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
    Journal articles | 2017
    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
    Journal articles | 2017
    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
    Journal articles | 2017
    Конн А; Connes A; Сукочев ФА; Sukochev FA; Занин ДВ; Zanin DV, 2017, 'Теорема о следах для квазифуксовых групп', Математический сборник, vol. 208, pp. 59 - 90, http://dx.doi.org/10.4213/sm8794
    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, vol. 144, pp. 2461 - 2471, http://dx.doi.org/10.1090/proc/12889
    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, vol. 28, http://dx.doi.org/10.1142/S0129055X16300028
    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, vol. 289, pp. 575 - 609, http://dx.doi.org/10.1002/mana.201500065
    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, vol. 6, pp. 1 - 41, http://dx.doi.org/10.4171/JST/116
    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, vol. 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, vol. 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, vol. 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, vol. 94, pp. 113 - 140, http://dx.doi.org/10.1112/jlms/jdw024
    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, vol. 230, pp. 41 - 57, http://dx.doi.org/10.4064/sm8089-1-2016
    Journal articles | 2015
    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
    Journal articles | 2015
    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
    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, vol. 59, pp. 819 - 824, http://dx.doi.org/10.1215/ijm/1475266410
    Journal articles | 2015
    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
    Journal articles | 2015
    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
    Journal articles | 2014
    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
    Journal articles | 2014
    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
    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, vol. 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, vol. 4, pp. 415 - 430, http://dx.doi.org/10.4171/JST/75
    Journal articles | 2014
    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
    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, vol. 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, vol. 252, pp. 406 - 428, http://dx.doi.org/10.1016/j.aim.2013.10.028
    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, vol. 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, vol. 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
    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
    Journal articles | 2011
    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
    Journal articles | 2010
    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
    Journal articles | 2010
    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
    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, vol. 43, pp. 83 - 95, http://dx.doi.org/10.1007/s10688-009-0013-2
    Journal articles | 2009
    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
    Journal articles | 2009
    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
  • 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 | 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
    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 | 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
    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
    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
    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
    Semenov E; Sukochev F; Usachev A; Zanin D, 2019, Dilation invariant Banach limits, http://dx.doi.org/10.48550/arxiv.1910.10899
    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
    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
    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
    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 | 2016
    Semenov E; Sukochev F; Usachev A; Zanin D, 2016, Banach limits and traces on $\mathcal L_{1,\infty}$, http://dx.doi.org/10.48550/arxiv.1612.04509
    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 | 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 | 2012
    Sukochev F; Usachev A; Zanin D, 2012, Dixmier traces generated by exponentiation invariant generalised limits, http://dx.doi.org/10.48550/arxiv.1210.3398
    Preprints | 2012
    Sukochev F; Usachev A; Zanin D, 2012, On the distinction between the classes of Dixmier and Connes-Dixmier traces, http://dx.doi.org/10.48550/arxiv.1210.3397