Dr Dmitriy Zanin

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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.

E-mail

first_letter_of_the_name.surname@unsw.edu.au

Location

School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red Centre Room RC-6104

Books | 2023

Carey A; Gesztesy F; Levitina G; Nichols R; Sukochev F; Zanin D, 2023, The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators, EMS Press, http://dx.doi.org/10.4171/mems/4

Books | 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 | 2025

Sukochev F; Tulenov K; Zanin D, 2025, 'Sobolev projection on quantum torus, its complete boundedness and applications', Journal of Mathematical Analysis and Applications, 543, http://dx.doi.org/10.1016/j.jmaa.2024.128906

Journal articles | 2024

Fan Z; Li J; McDonald E; Sukochev F; Zanin D, 2024, 'Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups', Journal of Functional Analysis, 286, http://dx.doi.org/10.1016/j.jfa.2023.110188

Journal articles | 2024

Frank RL; Sukochev F; Zanin D, 2024, 'Endpoint Schatten class properties of commutators', Advances in Mathematics, 450, http://dx.doi.org/10.1016/j.aim.2024.109738

Journal articles | 2024

Jiao Y; Luo S; Zanin D; Zhou D, 2024, 'Noncommutative Logarithmic Sobolev Inequalities', Communications in Mathematical Physics, 405, http://dx.doi.org/10.1007/s00220-024-05145-w

Journal articles | 2024

Kordyukov Y; Sukochev F; Zanin D, 2024, 'C ^*-algebraic approach to the principal symbol. III', Journal of Noncommutative Geometry, 18, pp. 1265 - 1314, http://dx.doi.org/10.4171/JNCG/553

Journal articles | 2023

Akhymbek M; Zanin D, 2023, 'Approximation formula for a propagator in symmetrically normed ideals', Journal of Mathematical Analysis and Applications, 522, pp. 126996 - 126996, http://dx.doi.org/10.1016/j.jmaa.2022.126996

Journal articles | 2023

Astashkin S; Huang J; Pliev M; Sukochev F; Zanin D, 2023, 'Optimal Range of Haar Martingale Transforms and Its Applications', International Mathematics Research Notices, 2023, pp. 20827 - 20854, http://dx.doi.org/10.1093/imrn/rnac273

Journal articles | 2023

Ber A; Sukochev F; Zanin D; Zhao H, 2023, 'Diagonality modulo hybrid Lorentz-(p,1) ideals in semifinite factors', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110071

Journal articles | 2023

Frank RL; Sukochev F; Zanin D, 2023, 'ASYMPTOTICS OF SINGULAR VALUES FOR QUANTUM DERIVATIVES', Transactions of the American Mathematical Society, 376, pp. 2047 - 2088, http://dx.doi.org/10.1090/tran/8827

Journal articles | 2023

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

Journal articles | 2023

Jiao Y; Zanin D; Zhou D, 2023, 'Noncommutative Burkholder/Rosenthal inequalities with maximal diagonals', Journal of Functional Analysis, 285, pp. 109949 - 109949, http://dx.doi.org/10.1016/j.jfa.2023.109949

Journal articles | 2023

McDonald E; Sukochev F; Zanin D, 2023, 'Spectral estimates and asymptotics for stratified Lie groups', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110105

Journal articles | 2023

Sukochev F; Xiong X; Zanin D, 2023, 'Asymptotics of singular values for quantised derivatives on noncommutative tori', Journal of Functional Analysis, 285, pp. 110021 - 110021, http://dx.doi.org/10.1016/j.jfa.2023.110021

Journal articles | 2023

Sukochev F; Zanin D, 2023, 'Optimal Cwikel–Solomyak Estimates', Journal of Fourier Analysis and Applications, 29, http://dx.doi.org/10.1007/s00041-023-10003-9

Journal articles | 2023

Sukochev F; Zanin D, 2023, 'Resolution of a problem by Simon concerning Schrödinger operators via methods from noncommutative geometry', Journal d'Analyse Mathematique, 149, pp. 555 - 562, http://dx.doi.org/10.1007/s11854-022-0257-9

Journal articles | 2023

Sukochev F; Zanin D, 2023, 'SYMMETRIC BANACH SEQUENCE SPACES RESPECT WEYL SUBMAJORIZATION', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 151, pp. 2907 - 2917, http://dx.doi.org/10.1090/proc/15791

Journal articles | 2023

Zanin DV; Sukochev FA, 2023, 'Connes Integration Formula: A Constructive Approach', Functional Analysis and its Applications, 57, pp. 40 - 59, http://dx.doi.org/10.1134/S0016266323010045

Journal articles | 2023

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

Journal articles | 2022

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

Journal articles | 2022

Azamov N; Hekkelman E; McDonald E; Sukochev F; Zanin D, 2022, 'An application of singular traces to crystals and percolation', Journal of Geometry and Physics, 179, pp. 104608 - 104608, http://dx.doi.org/10.1016/j.geomphys.2022.104608

Journal articles | 2022

Azamov N; McDonald E; Sukochev F; Zanin D, 2022, 'THE DENSITY OF STATES DEPENDS ON THE DOMAIN', Operators and Matrices, 16, pp. 1185 - 1189, http://dx.doi.org/10.7153/oam-2022-16-77

Journal articles | 2022

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

Journal articles | 2022

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

Journal articles | 2022

Jiao Y; Sukochev F; Xie G; Zanin D, 2022, 'Free Rosenthal Inequalities on Vector-Valued Symmetric Operator Spaces', International Mathematics Research Notices, 2022, pp. 16634 - 16671, http://dx.doi.org/10.1093/imrn/rnab197

Journal articles | 2022

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

Journal articles | 2022

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

Journal articles | 2022

Sukochev F; Tulenov K; Zanin D, 2022, 'A weak type (1, 1) estimate for the Hilbert operator in higher-dimensional setting', Studia Mathematica, 265, pp. 241 - 256, http://dx.doi.org/10.4064/sm201201-4-11

Journal articles | 2022

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

Journal articles | 2021

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

Journal articles | 2021

Sukochev F; Tulenov K; Zanin D, 2021, 'The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications', Bulletin des Sciences Mathematiques, 167, http://dx.doi.org/10.1016/j.bulsci.2020.102943

Journal articles | 2021

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

Journal articles | 2020

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

Journal articles | 2020

Britz T; Carey A; Gesztesy F; Nichols R; Sukochev F; Zanin D, 2020, 'The product formula for regularized Fredholm determinants', Proceedings of the American Mathematical Society, Series B, 8, pp. 42 - 51, http://dx.doi.org/10.1090/bproc/70

Journal articles | 2020

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

Journal articles | 2020

Charlesworth I; Dykema K; Sukochev F; Zanin D, 2020, 'Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra', Canadian Journal of Mathematics, 72, pp. 1188 - 1245, http://dx.doi.org/10.4153/S0008414X19000282

Journal articles | 2020

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable Operators: Part II', Integral Equations and Operator Theory, 92, http://dx.doi.org/10.1007/s00020-020-02586-5

Journal articles | 2020

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable operators: Part I', Integral Equations and Operator Theory, 92, http://dx.doi.org/10.1007/s00020-020-02585-6

Journal articles | 2020

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

Journal articles | 2020

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

Journal articles | 2020

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

Journal articles | 2020

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

Journal articles | 2020

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

Journal articles | 2020

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

Journal articles | 2020

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

Journal articles | 2020

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

Journal articles | 2019

Caspers M; Potapov D; Sukochev F; Zanin D, 2019, 'WEAK TYPE COMMUTATOR AND LIPSCHITZ ESTIMATES: RESOLUTION OF THE NAZAROV-PELLER CONJECTURE', AMERICAN JOURNAL OF MATHEMATICS, 141, pp. 593 - 610, http://dx.doi.org/10.1353/ajm.2019.0019

Journal articles | 2019

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

Journal articles | 2019

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

Journal articles | 2019

Huang J; Sukochev F; Zanin D, 2019, 'Logarithmic submajorisation and order-preserving linear isometries', Journal of Functional Analysis, 278, pp. 108352, 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, 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, 374, pp. 273 - 322, 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, 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, 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, 146, pp. 1681 - 1692, http://dx.doi.org/10.1090/proc/13845

Journal articles | 2018

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

Journal articles | 2018

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

Journal articles | 2018

Dykema K; Noles J; Zanin D, 2018, 'Decomposability and Norm Convergence Properties in Finite von Neumann Algebras', Integral Equations and Operator Theory, 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, 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, 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, 80, pp. 481 - 522, http://dx.doi.org/10.7900/jot.2017nov02.2176

Journal articles | 2018

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

Journal articles | 2017

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

Journal articles | 2017

Connes A; Sukochev FA; Zanin DV, 2017, 'Теорема о следах для квазифуксовых групп', Математический сборник, 208, pp. 59 - 90, http://dx.doi.org/10.4213/sm8794

Journal articles | 2017

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

Journal articles | 2017

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

Journal articles | 2017

Jiao Y; Sukochev F; Zanin D; Zhou D, 2017, 'Johnson–Schechtman inequalities for noncommutative martingales', Journal of Functional Analysis, 272, pp. 976, http://dx.doi.org/10.1016/j.jfa.2016.11.002

Journal articles | 2017

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

Journal articles | 2017

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

Journal articles | 2017

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

Journal articles | 2017

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

Journal articles | 2017

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

Journal articles | 2016

Aubrun G; Sukochev F; Zanin D, 2016, 'Catalysis in the trace class and weak trace class ideals', Proceedings of the American Mathematical Society, 144, pp. 2461 - 2471, http://dx.doi.org/10.1090/proc/12889

Journal articles | 2016

Carey A; Gesztesy F; Grosse H; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, 'Trace formulas for a class of non-Fredholm operators: A review', Reviews in Mathematical Physics, 28, http://dx.doi.org/10.1142/S0129055X16300028

Journal articles | 2016

Carey A; Gesztesy F; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, 'On index theory for non-Fredholm operators: A (1 + 1)-dimensional example', Mathematische Nachrichten, 289, pp. 575 - 609, http://dx.doi.org/10.1002/mana.201500065

Journal articles | 2016

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

Journal articles | 2016

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

Journal articles | 2016

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

Journal articles | 2016

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

Journal articles | 2016

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

Journal articles | 2015

Astashkin S; Sukochev F; Zanin D, 2015, 'On uniqueness of distribution of a random variable whose independent copies span a subspace in Lp', Studia Mathematica, 230, pp. 41 - 57, http://dx.doi.org/10.4064/sm8089-1-2016

Journal articles | 2015

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

Journal articles | 2015

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

Journal articles | 2015

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

Journal articles | 2015

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

Journal articles | 2015

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

Journal articles | 2014

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

Journal articles | 2014

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

Journal articles | 2014

Potapov D; Sukochev F; Tomskova A; Zanin D, 2014, 'Fréchet differentiability of the norm of Lp-spaces associated with arbitrary von Neumann algebras', Comptes Rendus Mathematique, 352, pp. 923 - 927, http://dx.doi.org/10.1016/j.crma.2014.09.017

Journal articles | 2014

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

Journal articles | 2014

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

Journal articles | 2014

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

Journal articles | 2014

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

Journal articles | 2014

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

Journal articles | 2013

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

Journal articles | 2013

Sukochev F; Usachev A; Zanin D, 2013, 'On the distinction between the classes of Dixmier and Connes-Dixmier traces', Proceedings of the American Mathematical Society, 141, pp. 2169 - 2179, http://dx.doi.org/10.1090/S0002-9939-2012-11853-2

Journal articles | 2013

Sukochev F; Zanin D, 2013, 'Traces on symmetrically normed operator ideals', Journal fur die Reine und Angewandte Mathematik, pp. 163 - 200, http://dx.doi.org/10.1515/crelle.2012.028

Journal articles | 2012

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

Journal articles | 2011

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

Journal articles | 2010

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

Journal articles | 2010

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

Journal articles | 2009

Astashkin S; Zanin DV; Semenov E; Sukochev F, 2009, 'Kruglov operator and operators defined by random permutations', Functional Analysis and Its Applications, 43, pp. 83 - 95

Journal articles | 2009

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

Journal articles | 2009

Sukochev F; Zanin DV, 2009, 'Orbits in symmetric spaces', Journal of Functional Analysis, 257, pp. 194 - 218

Journal articles | 2004

Ganikhodzhaev NN; Zanin DV, 2004, 'On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex', Russian Mathematical Surveys, 59, pp. 571 - 572, http://dx.doi.org/10.1070/RM2004v059n03ABEH000744
Preprints | 2022

Astashkin S; Huang J; Pliev M; Sukochev F; Zanin D, 2022, Optimal range of Haar martingale transforms and its applications, , http://arxiv.org/abs/2202.07154v1

Preprints | 2022

Azamov N; Hekkelman E; McDonald E; Sukochev F; Zanin D, 2022, An Application of Singular Traces to Crystals and Percolation, , http://dx.doi.org/10.48550/arxiv.2202.03676

Preprints | 2022

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

Preprints | 2021

Azamov N; McDonald E; Zanin D; Sukochev F, 2021, The density of states depends on the domain, , http://dx.doi.org/10.48550/arxiv.2107.09828

Preprints | 2021

Carey A; Gesztesy F; Levitina G; Nichols R; Sukochev F; Zanin D, 2021, The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators, , http://dx.doi.org/10.48550/arxiv.2105.03024

Preprints | 2021

Jiao Y; Sukochev F; Wu L; Zanin D, 2021, Distributional inequalities for noncommutative martingales, , http://dx.doi.org/10.48550/arxiv.2103.08847

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 | 2020

Sukochev F; Zanin D, 2020, Cwikel-Solomyak estimates on tori and Euclidean spaces, , http://dx.doi.org/10.48550/arxiv.2008.04494

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

Jiao Y; Xie G; Sukochev F; Zanin D, 2019, Rosenthal's inequalities: $\Delta-$norms and quasi-Banach symmetric sequence spaces, , http://dx.doi.org/10.48550/arxiv.1910.12482

Preprints | 2019

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 | 2018

Sukochev F; Zanin D, 2018, The Connes character formula for locally compact spectral triples, , http://dx.doi.org/10.48550/arxiv.1803.01551

Preprints | 2017

Caspers M; Sukochev F; Zanin D, 2017, Weak type operator Lipschitz and commutator estimates for commuting tuples, , http://dx.doi.org/10.48550/arxiv.1703.03089

Preprints | 2017

Charlesworth I; Dykema K; Sukochev F; Zanin D, 2017, Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra, , http://dx.doi.org/10.48550/arxiv.1703.05695

Preprints | 2017

Connes A; Sukochev F; Zanin D, 2017, Trace theorem for quasi-Fuchsian groups, , http://dx.doi.org/10.48550/arxiv.1703.05447

Preprints | 2017

Dykema K; Noles J; Zanin D, 2017, Decomposibility and norm convergence properties in finite von Neumann algebras, , http://dx.doi.org/10.48550/arxiv.1709.06034

Preprints | 2017

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

Preprints | 2016

Ber A; Chilin V; Sukochev F; Zanin D, 2016, Fuglede-Putnam theorem for locally measurable operators, , http://dx.doi.org/10.48550/arxiv.1612.04492

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

Jiao Y; Sukochev F; Xie G; Zanin D, 2016, $\Phi$-moment inequalities for independent and freely independent random variables, , http://dx.doi.org/10.48550/arxiv.1608.07368

Preprints | 2016

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

Preprints | 2016

Jiao Y; Sukochev F; Zanin D, 2016, Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory, , http://dx.doi.org/10.48550/arxiv.1608.07367

Preprints | 2016

Potapov D; Sukochev F; Usachev A; Zanin D, 2016, Singular traces and perturbation formulae of higher order, , http://dx.doi.org/10.48550/arxiv.1612.04511

Preprints | 2016

Potapov D; Sukochev F; Zanin D, 2016, Krein's trace theorem revisited, , http://dx.doi.org/10.48550/arxiv.1701.00697

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 | 2016

Sukochev F; Zanin D, 2016, Fubini theorem in noncommutative geometry, , http://dx.doi.org/10.48550/arxiv.1612.04012

Preprints | 2015

Aubrun G; Sukochev F; Zanin D, 2015, Catalysis in the trace class and weak trace class ideals, , http://dx.doi.org/10.48550/arxiv.1506.05974

Preprints | 2015

Caspers M; Potapov D; Sukochev F; Zanin D, 2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, , http://dx.doi.org/10.48550/arxiv.1506.00778

Preprints | 2015

Dykema K; Noles J; Sukochev F; Zanin D, 2015, On reduction theory and Brown measure for closed unbounded operators, , http://dx.doi.org/10.48550/arxiv.1509.03362

Preprints | 2015

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

Preprints | 2015

Dykema K; Sukochev F; Zanin D, 2015, An upper triangular decomposition theorem for some unbounded operators affiliated to II_1-factors, , http://dx.doi.org/10.48550/arxiv.1509.03358

Preprints | 2014

Astashkin S; Sukochev F; Zanin D, 2014, On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p, , http://dx.doi.org/10.48550/arxiv.1406.4950

Preprints | 2013

Caspers M; Potapov D; Sukochev F; Zanin D, 2013, Weak type estimates for the absolute value mapping, , http://dx.doi.org/10.48550/arxiv.1309.3378

Preprints | 2013

Dykema K; Sukochev F; Zanin D, 2013, Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras, , http://dx.doi.org/10.48550/arxiv.1310.2524

Preprints | 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

Preprints | 2010

Astashkin SV; Zanin DV; Semenov EM; Sukochev FA, 2010, Kruglov operator and operators defined by random permutations, , http://dx.doi.org/10.48550/arxiv.1003.2009

Preprints | 2010

Sedaev AA; Sukochev FA; Zanin DV, 2010, Lidskii-type formulae for Dixmier traces, , http://dx.doi.org/10.48550/arxiv.1003.1813

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Dr Dmitriy Zanin