Select Publications
Journal articles
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
2019, 'Interpolation between L(M, τ) and L
2019, 'The main classes of invariant Banach limits', Izvestiya Mathematics, 83, pp. 124 - 150, http://dx.doi.org/10.1070/IM8704
,2019, 'The Mean Ergodic Theorem in symmetric spaces', Studia Mathematica, 245, pp. 229 - 253, http://dx.doi.org/10.4064/sm170311-31-10
,2019, 'Дифференцирования на алгебрах Мюррея-фон Неймана', Uspekhi Matematicheskikh Nauk, 74, pp. 183 - 184, http://dx.doi.org/10.4213/rm9902
,2019, 'Основные классы инвариантных банаховых пределов', Известия Российской академии наук. Серия математическая, 83, pp. 140 - 167, http://dx.doi.org/10.4213/im8704
,2018, 'Weak Type Estimates for the Noncommutative Vilenkin–Fourier Series', Integral Equations and Operator Theory, 90, http://dx.doi.org/10.1007/s00020-018-2489-8
,2018, 'Positive Linear Isometries in Symmetric Operator Spaces', Integral Equations and Operator Theory, 90, http://dx.doi.org/10.1007/s00020-018-2483-1
,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
,2018, 'On the Global Limiting Absorption Principle for Massless Dirac Operators', Annales Henri Poincare, 19, pp. 1993 - 2019, http://dx.doi.org/10.1007/s00023-018-0675-5
,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
,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
,2018, 'Ac*-Algebraicapproach Totheprincipalsymbol. I', Journal of Operator Theory, 80, pp. 481 - 522, http://dx.doi.org/10.7900/jot.2017nov02.2176
,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
,2018, 'Invariant Banach limits and their extreme points', Studia Mathematica, 242, pp. 79 - 107, http://dx.doi.org/10.4064/sm8785-5-2017
,2018, 'Isomorphic classification of L
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
,2017, 'Multilinear Schur multipliers and Schatten properties of operator Taylor remainders', Advances in Mathematics, 320, pp. 1063 - 1098, http://dx.doi.org/10.1016/j.aim.2017.09.012
,2017, 'An upper triangular decomposition theorem for some unbounded operators affiliated to II
2017, 'On weak* convergent sequences in duals of symmetric spaces of τ-measurable operators', Israel Journal of Mathematics, 222, pp. 125 - 164, http://dx.doi.org/10.1007/s11856-017-1585-9
,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
,2017, 'Banach limits: Invariance and functional characteristics', Doklady Mathematics, 96, pp. 305 - 307, http://dx.doi.org/10.1134/S1064562417040019
,2017, 'Blum–Hanson type ergodic theorems in noncommutative symmetric spaces', Journal of Functional Analysis, 273, pp. 329 - 351, http://dx.doi.org/10.1016/j.jfa.2017.03.011
,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
,2017, 'Derivations with values in ideals of semifinite von Neumann algebras', Journal of Functional Analysis, 272, pp. 4984 - 4997, http://dx.doi.org/10.1016/j.jfa.2017.02.010
,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
,2017, 'On the Witten index in terms of spectral shift functions', Journal d'Analyse Mathematique, 132, pp. 1 - 61, http://dx.doi.org/10.1007/s11854-017-0003-x
,2017, 'Embeddings of operator ideals into L
2017, 'Mean ergodic theorem in symmetric spaces', Comptes Rendus Mathematique, 355, pp. 559 - 562, http://dx.doi.org/10.1016/j.crma.2017.03.014
,2017, 'Fubini theorem in noncommutative geometry', Journal of Functional Analysis, 272, pp. 1230, http://dx.doi.org/10.1016/j.jfa.2016.10.016
,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
,2017, 'Completeness of symmetric Δ-normed spaces of τ-measurable operators', Studia Mathematica, 237, pp. 201 - 219, http://dx.doi.org/10.4064/sm8349-10-2016
,2017, 'Order and geometric properties of the set of banach limits', St. Petersburg Mathematical Journal, 28, pp. 299 - 321, http://dx.doi.org/10.1090/spmj/1452
,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
,2017, 'Trace theorem for quasi-fuchsian groups', Sbornik Mathematics, 208, pp. 1473 - 1502, http://dx.doi.org/10.1070/SM8794
,2017, 'БАНАХОВЫ ПРЕДЕЛЫ: ИНВАРИАНТНОСТЬ И ФУНКЦИОНАЛЬНЫЕ ХАРАКТЕРИСТИКИ', Доклады Академии наук, pp. 7 - 7, http://dx.doi.org/10.7868/s086956521719001x
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