¶¶Òõ¶ÌÊÓƵ

Dr Dmitriy Zanin

Senior Lecturer
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 | 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,
    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,
  • 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,
    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,
    Journal articles | 2024
    Frank RL; Sukochev F; Zanin D, 2024, 'Endpoint Schatten class properties of commutators', Advances in Mathematics, 450,
    Journal articles | 2024
    Jiao Y; Luo S; Zanin D; Zhou D, 2024, 'Noncommutative Logarithmic Sobolev Inequalities', Communications in Mathematical Physics, 405,
    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,
    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,
    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,
    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,
    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,
    Journal articles | 2023
    Jiao Y; Sukochev F; Wu L; Zanin D, 2023, 'Distributional inequalities for noncommutative martingales', Journal of Functional Analysis, 284,
    Journal articles | 2023
    Jiao Y; Zanin D; Zhou D, 2023, 'Noncommutative Burkholder/Rosenthal inequalities with maximal diagonals', Journal of Functional Analysis, 285,
    Journal articles | 2023
    McDonald E; Sukochev F; Zanin D, 2023, 'Spectral estimates and asymptotics for stratified Lie groups', Journal of Functional Analysis, 285,
    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,
    Journal articles | 2023
    Sukochev F; Zanin D, 2023, 'Optimal Cwikel–Solomyak Estimates', Journal of Fourier Analysis and Applications, 29,
    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,
    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,
    Journal articles | 2023
    Zanin DV; Sukochev FA, 2023, 'Connes Integration Formula: A Constructive Approach', Functional Analysis and its Applications, 57, pp. 40 - 59,
    Journal articles | 2023
    Zanin DV; Sukochev FA, 2023, 'Формула Ð¸Ð½Ñ‚ÐµÐ³Ñ€Ð¸Ñ€Ð¾Ð²Ð°Ð½Ð¸Ñ ÐšÐ¾Ð½Ð½Ð° - конÑтруктивный подход', Функциональный анализ и его приложениÑ, 57, pp. 52 - 76,
    Journal articles | 2022
    Astashkin S; Sukochev F; Zanin D, 2022, 'The distribution of a random variable whose independent copies span â„“M is unique', Revista Matematica Complutense, 35, pp. 815 - 834,
    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,
    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,
    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,
    Journal articles | 2022
    Huang J; Sukochev F; Zanin D, 2022, 'Optimal estimates for martingale transforms', Journal of Functional Analysis, 282,
    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,
    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,
    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,
    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,
    Journal articles | 2022
    Sukochev FA; Zanin DV, 2022, 'Оценки СоломÑка Ð´Ð»Ñ Ð¾Ð¿ÐµÑ€Ð°Ñ‚Ð¾Ñ€Ð° Бирмана-Швингера', МатематичеÑкий Ñборник, 213, pp. 97 - 137,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    Journal articles | 2020
    Levitina G; Sukochev F; Zanin D, 2020, 'Cwikel estimates revisited', Proceedings of the London Mathematical Society, 120, pp. 265 - 304,
    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,
    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,
    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,
    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,
    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,
    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,
    Journal articles | 2019
    Huang J; Sukochev F; Zanin D, 2019, 'Logarithmic submajorisation and order-preserving linear isometries', Journal of Functional Analysis, 278, pp. 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,
    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,
    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,
    Journal articles | 2019
    Semenov E; Sukochev F; Usachev A; Zanin D, 2019, 'Dilation invariant Banach limits', Indagationes Mathematicae,
    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,
    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,
    Journal articles | 2018
    Ber A; Sukochev F; Zanin D, 2018, 'Heisenberg relation for locally measurable operators', Advances in Mathematics, 335, pp. 211 - 230,
    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,
    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,
    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,
    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,
    Journal articles | 2018
    Sukochev F; Zanin D, 2018, 'Ac*-Algebraicapproach Totheprincipalsymbol. I', Journal of Operator Theory, 80, pp. 481 - 522,
    Journal articles | 2018
    Sukochev F; Zanin D, 2018, 'Connes Integration Formula for the Noncommutative Plane', Communications in Mathematical Physics, 359, pp. 449 - 466,
    Journal articles | 2017
    Connes A; Sukochev FA; Zanin DV, 2017, 'Trace theorem for quasi-fuchsian groups', Sbornik Mathematics, 208, pp. 1473 - 1502,
    Journal articles | 2017
    Connes A; Sukochev FA; Zanin DV, 2017, 'Теорема о Ñледах Ð´Ð»Ñ ÐºÐ²Ð°Ð·Ð¸Ñ„ÑƒÐºÑовых групп', МатематичеÑкий Ñборник, 208, pp. 59 - 90,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    Journal articles | 2017
    Sukochev F; Zanin D, 2017, 'Fubini theorem in noncommutative geometry', Journal of Functional Analysis, 272, pp. 1230,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    Journal articles | 2014
    Potapov D; Sukochev F; Zanin D, 2014, 'Krein's trace theorem revisited', Journal of Spectral Theory, 4, pp. 415 - 430,
    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,
    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,
    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,
    Journal articles | 2014
    Sukochev F; Zanin D, 2014, 'Which traces are spectral?', Advances in Mathematics, 252, pp. 406 - 428,
    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,
    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,
    Journal articles | 2013
    Sukochev F; Zanin D, 2013, 'Traces on symmetrically normed operator ideals', Journal fur die Reine und Angewandte Mathematik, pp. 163 - 200,
    Journal articles | 2012
    Sukochev F; Zanin DV, 2012, 'Johnson-Schectman inequalities in the free probability theory', Journal of Functional Analysis, 263, pp. 2921 - 2948,
    Journal articles | 2011
    Sukochev F; Zanin DV, 2011, 'ζ-function and heat kernel formulae', Journal of Functional Analysis, 260, pp. 2451 - 2482,
    Journal articles | 2010
    Kalton N; Sukochev F; Zanin DV, 2010, 'Orbits in symmetric spaces, II', Studia Mathematica, 197, pp. 257 - 274,
    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,
    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,
    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,
  • Preprints | 2022
    Astashkin S; Huang J; Pliev M; Sukochev F; Zanin D, 2022, Optimal range of Haar martingale transforms and its applications, ,
    Preprints | 2022
    Azamov N; Hekkelman E; McDonald E; Sukochev F; Zanin D, 2022, An Application of Singular Traces to Crystals and Percolation, ,
    Preprints | 2022
    Frank RL; Sukochev F; Zanin D, 2022, Asymptotics of singular values for quantum derivatives, ,
    Preprints | 2021
    Azamov N; McDonald E; Zanin D; Sukochev F, 2021, The density of states depends on the domain, ,
    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, ,
    Preprints | 2021
    Jiao Y; Sukochev F; Wu L; Zanin D, 2021, Distributional inequalities for noncommutative martingales, ,
    Preprints | 2020
    Caspers M; Sukochev F; Zanin D, 2020, Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions, ,
    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], ,
    Preprints | 2020
    Sukochev F; Zanin D, 2020, Cwikel-Solomyak estimates on tori and Euclidean spaces, ,
    Preprints | 2019
    Azamov N; McDonald E; Sukochev F; Zanin D, 2019, A Dixmier trace formula for the density of states, ,
    Preprints | 2019
    Caspers M; Junge M; Sukochev F; Zanin D, 2019, BMO-estimates for non-commutative vector valued Lipschitz functions, ,
    Preprints | 2019
    Dodds P; Dodds T; Sukochev F; Zanin D, 2019, Logarithmic submajorization, uniform majorization and Hölder type inequalities for $\tau$-measurable operators, ,
    Preprints | 2019
    Jiao Y; Xie G; Sukochev F; Zanin D, 2019, Rosenthal's inequalities: $\Delta-$norms and quasi-Banach symmetric sequence spaces, ,
    Preprints | 2019
    Semenov E; Sukochev F; Usachev A; Zanin D, 2019, Dilation invariant Banach limits, ,
    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, ,
    Preprints | 2019
    Sukochev F; Tulenov K; Zanin D, 2019, The optimal range of the Calder\`{o}n operator and its applications, ,
    Preprints | 2018
    Connes A; Levitina G; McDonald E; Sukochev F; Zanin D, 2018, Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators, ,
    Preprints | 2018
    Sukochev F; Zanin D, 2018, The Connes character formula for locally compact spectral triples, ,
    Preprints | 2017
    Caspers M; Sukochev F; Zanin D, 2017, Weak type operator Lipschitz and commutator estimates for commuting tuples, ,
    Preprints | 2017
    Charlesworth I; Dykema K; Sukochev F; Zanin D, 2017, Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra, ,
    Preprints | 2017
    Connes A; Sukochev F; Zanin D, 2017, Trace theorem for quasi-Fuchsian groups, ,
    Preprints | 2017
    Dykema K; Noles J; Zanin D, 2017, Decomposibility and norm convergence properties in finite von Neumann algebras, ,
    Preprints | 2017
    Levitina G; Sukochev F; Zanin D, 2017, Cwikel estimates revisited, ,
    Preprints | 2016
    Ber A; Chilin V; Sukochev F; Zanin D, 2016, Fuglede-Putnam theorem for locally measurable operators, ,
    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, ,
    Preprints | 2016
    Jiao Y; Sukochev F; Xie G; Zanin D, 2016, $\Phi$-moment inequalities for independent and freely independent random variables, ,
    Preprints | 2016
    Jiao Y; Sukochev F; Zanin D; Zhou D, 2016, Johnson-Schechtman inequalities for noncommutative martingales, ,
    Preprints | 2016
    Jiao Y; Sukochev F; Zanin D, 2016, Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory, ,
    Preprints | 2016
    Potapov D; Sukochev F; Usachev A; Zanin D, 2016, Singular traces and perturbation formulae of higher order, ,
    Preprints | 2016
    Potapov D; Sukochev F; Zanin D, 2016, Krein's trace theorem revisited, ,
    Preprints | 2016
    Semenov E; Sukochev F; Usachev A; Zanin D, 2016, Banach limits and traces on $\mathcal L_{1,\infty}$,
    Preprints | 2016
    Sukochev F; Zanin D, 2016, Fubini theorem in noncommutative geometry, ,
    Preprints | 2015
    Aubrun G; Sukochev F; Zanin D, 2015, Catalysis in the trace class and weak trace class ideals, ,
    Preprints | 2015
    Caspers M; Potapov D; Sukochev F; Zanin D, 2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, ,
    Preprints | 2015
    Dykema K; Noles J; Sukochev F; Zanin D, 2015, On reduction theory and Brown measure for closed unbounded operators, ,
    Preprints | 2015
    Dykema K; Sukochev F; Zanin D, 2015, Algebras of log-integrable functions and operators, ,
    Preprints | 2015
    Dykema K; Sukochev F; Zanin D, 2015, An upper triangular decomposition theorem for some unbounded operators affiliated to II_1-factors, ,
    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, ,
    Preprints | 2013
    Caspers M; Potapov D; Sukochev F; Zanin D, 2013, Weak type estimates for the absolute value mapping, ,
    Preprints | 2013
    Dykema K; Sukochev F; Zanin D, 2013, Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras, ,
    Preprints | 2012
    Sukochev F; Usachev A; Zanin D, 2012, Dixmier traces generated by exponentiation invariant generalised limits, ,
    Preprints | 2012
    Sukochev F; Usachev A; Zanin D, 2012, On the distinction between the classes of Dixmier and Connes-Dixmier traces, ,
    Preprints | 2010
    Astashkin SV; Zanin DV; Semenov EM; Sukochev FA, 2010, Kruglov operator and operators defined by random permutations, ,
    Preprints | 2010
    Sedaev AA; Sukochev FA; Zanin DV, 2010, Lidskii-type formulae for Dixmier traces, ,