By Dr Dmitriy Zanin

Journal articles

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

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

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

Sukochev FA; Zanin DV, 2022, 'Solomyak-type eigenvalue estimates for the Birman-Schwinger operator', Sbornik Mathematics, 213, pp. 1250 - 1289, http://dx.doi.org/10.4213/sm9732e

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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