Select Publications
Journal articles
2021, 'Alberti--Uhlmann problem on Hardy--Littlewood--Pólya majorization', Communications in Mathematical Physics, 2021, http://dx.doi.org/10.1007/s00220-021-04184-x
,2021, 'Isomorphic classification of L
2021, 'Estimates for Schur Multipliers and Double Operator Integrals—A Wavelet Approach', Functional Analysis and its Applications, 55, pp. 81 - 93, http://dx.doi.org/10.1134/S0016266321020015
,2021, 'Inequalities for the block projection operators', Journal of Functional Analysis, 280, http://dx.doi.org/10.1016/j.jfa.2020.108851
,2021, 'Non-commutative analogues of weak compactness criteria in symmetric spaces', Advances in Operator Theory, 6, http://dx.doi.org/10.1007/s43036-021-00129-2
,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
,2021, 'Maximal Inequalities of Noncommutative Martingale Transforms', Canadian Journal of Mathematics, 73, pp. 221 - 248, http://dx.doi.org/10.4153/S0008414X19000580
,2021, 'A noncommutative generalisation of a problem of Steinhaus', Journal of Functional Analysis, 280, http://dx.doi.org/10.1016/j.jfa.2020.108782
,2021, 'Full proof of Kwapien's theorem on representing bounded mean zero functions on [0; 1]', Studia Mathematica, 259, pp. 241 - 270, http://dx.doi.org/10.4064/sm191129-31-8
,2021, 'Isometries on Noncommutative Symmetric Spaces', Doklady Mathematics, 103, pp. 54 - 56, http://dx.doi.org/10.1134/S1064562421010129
,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
,2021, 'When do triple operator integrals take value in the trace class?', ANNALES DE L INSTITUT FOURIER, 71, pp. 1393 - 1448, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000772480200013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
,2021, 'Estimates for Schur Multipliers and Double Operator Integrals - A Wavelet Approach', Функциональный анализ и его приложения, 55, pp. 5 - 20, http://dx.doi.org/10.4213/faa3872
,2020, 'Lack of isomorphic embeddings of symmetric function spaces into operator ideals', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2020.108895
,2020, 'Ando's inequality for uniform submajorization', Linear Algebra and Its Applications, 605, pp. 206 - 226, http://dx.doi.org/10.1016/j.laa.2020.07.015
,2020, 'M-embedded symmetric operator spaces and the derivation problem', Mathematical Proceedings of the Cambridge Philosophical Society, 169, pp. 607 - 622, http://dx.doi.org/10.1017/S030500411900029X
,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
,2020, 'L
2020, 'Quantum Differentiability on Noncommutative Euclidean Spaces', Communications in Mathematical Physics, 379, pp. 491 - 542, http://dx.doi.org/10.1007/s00220-019-03605-2
,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
,2020, 'Notes on derivations of Murray–von Neumann algebras', Journal of Functional Analysis, 279, http://dx.doi.org/10.1016/j.jfa.2020.108589
,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
,2020, 'The Grothendieck property in Marcinkiewicz spaces', Indagationes Mathematicae, 31, pp. 791 - 808, http://dx.doi.org/10.1016/j.indag.2020.01.008
,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
,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
,2020, 'Geometry of Banach limits and their applications', Russian Mathematical Surveys, 75, pp. 725 - 763, http://dx.doi.org/10.1070/RM9901
,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
,2020, 'On subspaces spanned by freely independent random variables in noncommutative L
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
,2020, 'Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart', Advances in Mathematics, http://dx.doi.org/10.1016/j.aim.2020.107050
,2020, 'Operator \theta-Hölder functions', Banach Journal of Mathematical Analysis, http://dx.doi.org/10.1007/s43037-020-00056-z
,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
,2020, 'Cwikel estimates revisited', Proceedings of the London Mathematical Society, 120, pp. 265 - 304, http://dx.doi.org/10.1112/plms.12301
,2020, '2-co-lacunary sequences in noncommutative symmetric banach spaces', Proceedings of the American Mathematical Society, 148, pp. 2045 - 2058, http://dx.doi.org/10.1090/proc/14862
,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
,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
,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
,2020, 'Геометрия банаховых пределов и их приложения', Uspekhi Matematicheskikh Nauk, 75, pp. 153 - 194, http://dx.doi.org/10.4213/rm9901
,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
,2019, 'Quantum Differentiability on Quantum Tori', Communications in Mathematical Physics, 371, pp. 1231 - 1260, http://dx.doi.org/10.1007/s00220-019-03384-w
,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
,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
,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
,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
,2019, 'Higher order S 2 -differentiability and application to Koplienko trace formula', Journal of Functional Analysis, 276, pp. 3170 - 3204, http://dx.doi.org/10.1016/j.jfa.2018.09.005
,2019, 'When weak and local measure convergence implies norm convergence', Journal of Mathematical Analysis and Applications, 473, pp. 1414 - 1431, http://dx.doi.org/10.1016/j.jmaa.2019.01.028
,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
,2019, 'A C ∗ -algebraic approach to the principal symbol II', Mathematische Annalen, http://dx.doi.org/10.1007/s00208-019-01822-7
,2019, 'Dilation invariant Banach limits', Indagationes Mathematicae, http://dx.doi.org/10.1016/j.indag.2019.12.003
,2019, 'FrÉchet differentiability of the norm of L