Select Publications
Journal articles
2014, 'Disjointification inequalities in symmetric quasi-banach spaces and their applications', Pacific Journal of Mathematics, 270, pp. 257 - 285, http://dx.doi.org/10.2140/pjm.2014.270.257
,2014, 'Dixmier traces generated by exponentiation invariant generalised limits', Journal of Noncommutative Geometry, 8, pp. 321 - 336, http://dx.doi.org/10.4171/JNCG/158
,2014, 'Fréchet differentiability of the norm of L
2014, 'Geometric properties of the set of Banach limits', Izvestiya Mathematics, 78, pp. 596 - 620, http://dx.doi.org/10.1070/IM2014v078n03ABEH002700
,2014, 'Krein's trace theorem revisited', Journal of Spectral Theory, 4, pp. 415 - 430, http://dx.doi.org/10.4171/JST/75
,2014, 'On p-Convexity and q-Concavity in Non-Commutative Symmetric Spaces', Integral Equations and Operator Theory, 78, pp. 91 - 114, http://dx.doi.org/10.1007/s00020-013-2082-0
,2013, 'Dixmier measurability in Marcinkiewicz spaces and applications', Journal of Functional Analysis, 265, pp. 3053 - 3066, http://dx.doi.org/10.1016/j.jfa.2013.08.014
,2013, 'Spectral shift function of higher order', Inventiones Mathematicae, 193, pp. 501 - 538, http://dx.doi.org/10.1007/s00222-012-0431-2
,2013, '(E, F)-Schur multipliers and applications', Studia Mathematica, 216, pp. 111 - 129, http://dx.doi.org/10.4064/sm216-2-2
,2013, 'Generalized limits with additional invariance properties and their applications to noncommutative geometry', Advances in Mathematics, 239, pp. 164 - 189, http://dx.doi.org/10.1016/j.aim.2013.02.012
,2013, 'Traces on symmetrically normed operator ideals', Journal fur die Reine und Angewandte Mathematik, pp. 163 - 200, http://dx.doi.org/10.1515/crelle.2012.028
,2013, 'On the distinction between the classes of Dixmier and Connes-Dixmier traces', Proceedings of the American Mathematical Society, 141, pp. 2169 - 2179, http://dx.doi.org/10.1090/S0002-9939-2012-11853-2
,2013, 'Commutator estimates in von Neumann algebras', Functional Analysis and its Applications, 47, pp. 62 - 63, http://dx.doi.org/10.1007/s10688-013-0007-y
,2013, 'Function spaces with extremal properties', Doklady Mathematics, 87, pp. 175 - 177, http://dx.doi.org/10.1134/S1064562413020142
,2013, 'The Dixmier approximation theorem in algebras of measurable operators', Proceedings of the American Mathematical Society, 141, pp. 909 - 918, http://dx.doi.org/10.1090/S0002-9939-2012-11479-0
,2013, 'Continuity of derivations of algebras of locally measurable operators', Integral Equations and Operator Theory, 75, pp. 527 - 557, http://dx.doi.org/10.1007/s00020-013-2039-3
,2013, 'Distributionally concave symmetric spaces and uniqueness of symmetric structure', Advances in Mathematics, 232, pp. 399 - 431, http://dx.doi.org/10.1016/j.aim.2012.08.013
,2013, 'Extreme points of the set of Banach limits', Positivity, 17, pp. 163 - 170, http://dx.doi.org/10.1007/s11117-011-0155-3
,2013, 'On Hilbert-Schmidt compatibility', Operators and Matrices, 7, pp. 1 - 33, http://dx.doi.org/10.7153/oam-07-01
,2013, 'The Walsh basis in the Lp-spaces of hyperfinite IIIλ factors, 0', Journal of Mathematical Analysis and Applications, 408, pp. 154 - 164, http://dx.doi.org/10.1016/j.jmaa.2013.06.003
,2013, 'Traces of compact operators and the noncommutative residue', Advances in Mathematics, 235, pp. 1 - 55, http://dx.doi.org/10.1016/j.aim.2012.11.007
,2012, 'Commutator estimates in W *-algebras', Journal of Functional Analysis, 262, pp. 537 - 568, http://dx.doi.org/10.1016/j.jfa.2011.09.018
,2012, 'Commutator estimates in W*-factors', Transactions of the American Mathematical Society, 364, pp. 5571 - 5587, http://dx.doi.org/10.1090/S0002-9947-2012-05568-1
,2012, 'Derivations on symmetric quasi-Banach ideals of compact operators', Journal of Mathematical Analysis and Applications, 397, pp. 628 - 643, http://dx.doi.org/10.1016/j.jmaa.2012.07.068
,2012, 'Integration on locally compact noncommutative spaces', Journal of Functional Analysis, 263, pp. 383 - 414, http://dx.doi.org/10.1016/j.jfa.2012.04.015
,2012, 'Johnson-Schectman inequalities in the free probability theory', Journal of Functional Analysis, 263, pp. 2921 - 2948, http://dx.doi.org/10.1016/j.jfa.2012.07.012
,2012, 'Koplienko Spectral Shift Function on the Unit Circle', Communications in Mathematical Physics, 309, pp. 693 - 702, http://dx.doi.org/10.1007/s00220-011-1338-2
,2012, 'Measurable operators and the asymptotics of heat kernels and zeta functions', Journal of Functional Analysis, 262, pp. 4582 - 4599, http://dx.doi.org/10.1016/j.jfa.2012.03.008
,2012, 'On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space', Israel Journal of Mathematics, 188, pp. 195 - 219, http://dx.doi.org/10.1007/s11856-011-0120-7
,2012, 'On the A. M. Bikchentaev conjecture', Russian Mathematics, 56, pp. 57 - 59, http://dx.doi.org/10.3103/S1066369X12060084
,2012, 'On the vector-valued Littlewood-Paley-Rubio de Francia inequality', Revista Matematica Iberoamericana, 28, pp. 839 - 856, http://dx.doi.org/10.4171/RMI/693
,2012, 'Schur multipliers associated with symmetric sequence spaces', Mathematical Notes, 92, pp. 830 - 833, http://dx.doi.org/10.1134/S0001434612110284
,2011, 'Structure properties of the Banach limit set', Doklady Mathematics, 84, pp. 802 - 803, http://dx.doi.org/10.1134/S1064562411070155
,2011, 'Noncommutative residues and a characterisation of the noncommutative integral', Proceedings of the American Mathematical Society, 139, pp. 243 - 243, http://dx.doi.org/10.1090/S0002-9939-2010-10472-0
,2011, 'ζ-function and heat kernel formulae', Journal of Functional Analysis, 260, pp. 2451 - 2482, http://dx.doi.org/10.1016/j.jfa.2010.10.007
,2011, 'Derivations in algebras of operator-valued functions', Journal of Operator Theory, 66, pp. 261 - 300
,2011, 'Disjointification of martingale differences and conditionally independent random variables with some applications', Studia Mathematica, 205, pp. 171 - 200, http://dx.doi.org/10.4064/sm205-2-3
,2011, 'Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces', Advances in Mathematics, 226, pp. 3540 - 3549, http://dx.doi.org/10.1016/j.aim.2010.09.025
,2011, 'Functions of normal operators under perturbations', Advances in Mathematics, 226, pp. 5216 - 5251, http://dx.doi.org/10.1016/j.aim.2011.01.008
,2011, 'Lipschitz functions, Schatten ideals, and unbounded derivations', Functional Analysis and Its Applications, 45, pp. 157 - 159
,2011, 'Operator-Lipschitz functions in Schatten-von Neumann classes', ACTA Mathematica, 207, pp. 375 - 389, http://dx.doi.org/10.1007/s11511-012-0072-8
,2011, 'Rosenthal inequalities in noncommutative symmetric spaces', Journal of Functional Analysis, 261, pp. 2890 - 2925, http://dx.doi.org/10.1016/j.jfa.2011.07.015
,2011, 'Symmetric quasi-norms of sums of independent random variables in symmetric function spaces with the Kruglov property', Israel Journal of Mathematics, 184, pp. 455 - 476, http://dx.doi.org/10.1007/s11856-011-0076-7
,2011, 'The Haar system in the preduals of hyperfinite factors', Canadian Mathematical Bulletin, 54, pp. 347 - 363, http://dx.doi.org/10.4153/CMB-2011-007-7
,2011, 'The index formula and the spectral shift function for relatively trace class perturbations', Advances in Mathematics, 227, pp. 319 - 420, http://dx.doi.org/10.1016/j.aim.2011.01.022
,2010, 'Measure Theory in Noncommutative Spaces', Symmetry, Integrability and Geometry: Methods and Applications, http://dx.doi.org/10.3842/SIGMA.2010.072
,2010, 'Independent functions and the geometry of Banach spaces', Russian Mathematical Surveys, 65, pp. 1003 - 1081, http://dx.doi.org/10.1070/RM2010v065n06ABEH004715
,2010, 'Best constants in Rosenthal-type inequalities and the Kruglov operator', Annals of Probability, 38, pp. 1986 - 2008, http://dx.doi.org/10.1214/10-AOP529
,2010, 'Characteristic functions of Banach limits', Siberian Mathematical Journal, 51, pp. 723 - 727
,2010, 'Double operator integrals and submajorization', Mathematical Modelling of Natural Phenomena (MMNP), 5, pp. 317 - 339, http://dx.doi.org/10.1051/mmnp/20105401
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