By Dr Dmitriy Zanin

Books

Ber A; Chilin V; Levitina G; Sukochev F; Zanin D, 2025, Algebras of unbounded operators: Algebraic and topological aspects of Murray-von Neumann algebras, http://dx.doi.org/10.1515/9783111599687

Kordyukov Y; Sukochev F; Zanin D, 2024, Principal Symbol Calculus on Contact Manifolds, http://dx.doi.org/10.1007/978-3-031-69926-9

Zanin D; Nichols R; Levitina G; Gesztesy F; Carey A; Sukochev F, 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

Lord S; McDonald E; Sukochev F; Zanin D, 2023, Singular Traces. Volume 2, Trace Formulas, De Gruyter, http://dx.doi.org/10.1515/9783110700176

Lord S; Sukochev F; Zanin DV, 2012, Singular Traces: Theory and Applications, Walter de Gruyter GmbH, Germany, http://dx.doi.org/10.1515/9783110262551

Book Chapters

, 2025, '1 Preliminaries on the theory of von Neumann algebras and general theory of linear operators in a Hilbert space', in Algebras of Unbounded Operators, De Gruyter, pp. 7 - 86, http://dx.doi.org/10.1515/9783111599687-002

, 2025, '2 Classes of unbounded operators', in Algebras of Unbounded Operators, De Gruyter, pp. 87 - 123, http://dx.doi.org/10.1515/9783111599687-003

, 2025, '3 Properties of locally measurable operators', in Algebras of Unbounded Operators, De Gruyter, pp. 124 - 180, http://dx.doi.org/10.1515/9783111599687-004

, 2025, '4 Topologies on algebras of unbounded operators', in Algebras of Unbounded Operators, De Gruyter, pp. 181 - 230, http://dx.doi.org/10.1515/9783111599687-005

, 2025, '5 Properties of derivations on algebras of locally measurable operators', in Algebras of Unbounded Operators, De Gruyter, pp. 231 - 275, http://dx.doi.org/10.1515/9783111599687-006

, 2025, '6 Derivations on the algebras of measurable operators affiliated with a type Ifin von Neumann algebra', in Algebras of Unbounded Operators, De Gruyter, pp. 276 - 338, http://dx.doi.org/10.1515/9783111599687-007

, 2025, '7 Complete description of derivations on algebras of locally measurable operators', in Algebras of Unbounded Operators, De Gruyter, pp. 339 - 392, http://dx.doi.org/10.1515/9783111599687-008

, 2025, 'Bibliography', in Algebras of Unbounded Operators, De Gruyter, pp. 393 - 400, http://dx.doi.org/10.1515/9783111599687-009

, 2025, 'General notation', in Algebras of Unbounded Operators, De Gruyter, pp. XI - XII, http://dx.doi.org/10.1515/9783111599687-202

, 2025, 'Introduction', in Algebras of Unbounded Operators, De Gruyter, pp. 1 - 6, http://dx.doi.org/10.1515/9783111599687-001

, 2025, 'Notation index', in Algebras of Unbounded Operators, De Gruyter, pp. 405 - 408, http://dx.doi.org/10.1515/9783111599687-011

, 2025, 'Preface', in Algebras of Unbounded Operators, De Gruyter, pp. V - VI, http://dx.doi.org/10.1515/9783111599687-201

Sukochev F; Zanin D, 2023, 'THE CONNES CHARACTER FORMULA FOR LOCALLY COMPACT SPECTRAL TRIPLES', in Asterisque, pp. 1 - 150, http://dx.doi.org/10.24033/AST.1204

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

Journal articles

Huang J; Nessipbayev Y; Sukochev F; Zanin D, 2025, 'Compactness criteria in quasi-Banach symmetric operator spaces associated with a non-commutative torus', Journal of Functional Analysis, 289, http://dx.doi.org/10.1016/j.jfa.2025.110946

Huang J; Junge M; Sukochev F; Zanin D, 2025, 'Embeddings of symmetric operator spaces into Lp-spaces, 1 ≤ p < 2, on finite von Neumann algebras', Israel Journal of Mathematics, 268, pp. 73 - 116, http://dx.doi.org/10.1007/s11856-025-2743-0

Sukochev F; Yang F; Zanin D, 2025, 'GAGLIARDO–NIRENBERG INTERPOLATION INEQUALITY FOR SYMMETRIC SPACES ON NONCOMMUTATIVE TORUS', Proceedings of the American Mathematical Society, 153, pp. 3125 - 3135, http://dx.doi.org/10.1090/proc/17229

Sukochev F; Zanin D, 2025, 'Regular traces on ideals in L(H)', Advances in Operator Theory, 10, http://dx.doi.org/10.1007/s43036-025-00446-w

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

van Nuland T; Sukochev F; Zanin D, 2025, 'Local invariants of conformally deformed non-commutative tori II: Multiple operator integrals', Journal of Functional Analysis, 288, http://dx.doi.org/10.1016/j.jfa.2024.110754

Sukochev F; Yang F; Zanin D; Zhou D, 2025, 'Optimal distribution estimates for commutators and Marcinkiewicz multipliers', Mathematische Annalen, http://dx.doi.org/10.1007/s00208-025-03306-3

Huang J; Sadovskaya O; Sukochev F; Zanin D, 2025, 'Lack of isomorphic embeddings of sequence space ℓ, into L p , q ( M , τ ) over a noncommutative probability space', Advances in Mathematics, 482, pp. 110571 - 110571, http://dx.doi.org/10.1016/j.aim.2025.110571

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

Zanin D, 2024, 'Criterion for ellipticity on Heisenberg group', Annals of Functional Analysis, 15, http://dx.doi.org/10.1007/s43034-024-00375-4

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

Jiao Y; Quan X; Sukochev F; Zanin D, 2024, 'On noncommutative distributional Khintchine type inequalities', Bulletin of the London Mathematical Society, 56, pp. 2278 - 2295, http://dx.doi.org/10.1112/blms.13055

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

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

Scheckter TT; Sukochev F; Zanin D, 2024, 'Generalised noncommutative subsequence principles', Studia Mathematica, 276, pp. 19 - 45, http://dx.doi.org/10.4064/sm230228-7-2

Sukochev F; Zanin D, 2024, 'LOCAL INVARIANTS OF NONCOMMUTATIVE TORI', St Petersburg Mathematical Journal, 35, pp. 377 - 415, http://dx.doi.org/10.1090/spmj/1808

Cadilhac L; Sukochev F; Zanin D, 2024, 'LORENTZ–SHIMOGAKI AND ARAZY–CWIKEL THEOREMS REVISITED', Pacific Journal of Mathematics, 328, pp. 227 - 254, http://dx.doi.org/10.2140/pjm.2024.328.227

Matin D; Nessipbayev Y; Sukochev F; Zanin D, 2024, 'WEAK GROTHENDIECK COMPACTNESS PRINCIPLE FOR SYMMETRIC SPACES', Pacific Journal of Mathematics, 333, pp. 127 - 154, http://dx.doi.org/10.2140/pjm.2024.333.127

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

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

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

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

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

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

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

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

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

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

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

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

Back to profile page