Select Publications
Journal articles
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
,2010, 'Functions of perturbed normal operators', Comptes Rendus Mathematique, 348, pp. 553 - 558, http://dx.doi.org/10.1016/j.crma.2010.04.015
,2010, 'Invariant Banach limits and applications', Annals of Probability, 259, pp. 1517 - 1541, http://dx.doi.org/10.1016/j.jfa.2010.05.011
,2010, 'Lidskii-Type Formulae for Dixmier Traces', Integral Equations and Operator Theory, 68, pp. 551 - 572, http://dx.doi.org/10.1007/s00020-010-1828-1
,2010, 'Measure theory in noncommutative spaces', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6, http://dx.doi.org/10.3842/SIGMA.2010.072
,2010, 'Measures from Dixmier traces and zeta functions', Journal of Functional Analysis, 259, pp. 1915 - 1949, http://dx.doi.org/10.1016/j.jfa.2010.06.012
,2010, 'Notes on derivations on algebras of measurable operators', Mathematical Notes, 87, pp. 502 - 513, http://dx.doi.org/10.1134/S0001434610030259
,2010, 'Orbits in symmetric spaces, II', Studia Mathematica, 197, pp. 257 - 274, http://dx.doi.org/10.4064/sm197-3-4
,2009, 'Unbounded Fredholm modules and double operator integrals', Journal fur die Reine und Angewandte Mathematik, pp. 159 - 185, http://dx.doi.org/10.1515/CRELLE.2009.006
,2009, 'BANACH-SAKS TYPE PROPERTIES IN REARRANGEMENT-INVARIANT SPACES WITH THE KRUGLOV PROPERTY', Houston Journal of Mathematics, 35, pp. 959 - 973
,2009, 'Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces', Studia Mathematica, 191, pp. 101 - 122
,2009, 'Kruglov operator and operators defined by random permutations', Functional Analysis and Its Applications, 43, pp. 83 - 95
,2009, 'Operator integrals, spectral shift, and spectral flow', Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 61, pp. 241 - 263
,2009, 'Orbits in symmetric spaces', Journal of Functional Analysis, 257, pp. 194 - 218
,2009, 'Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators', Advances in Mathematics, 222, pp. 1809 - 1849
,2009, 'Submajorisation inequalities for convex and concave functions of sums of measurable operators', Positivity, 13, pp. 107 - 124, http://dx.doi.org/10.1007/s11117-008-2206-y
,2009, 'Unbounded Fredholm modules and double operator integrals', Journal fur die Reine und Angewandte Mathematik, 626, pp. 159 - 185, http://dx.doi.org/10.15.15/CRELLE.2008
,2008, 'Banach-Saks index in spaces with symmetric basis', Doklady Mathematics, 77, pp. 396 - 397, http://dx.doi.org/10.1134/S1064562408030204
,2008, 'Series of independent, mean zero random variables in rearrangement- invariant spaces having the Kruglov property', Journal of Mathematical Sciences, 148, pp. 795 - 809, http://dx.doi.org/10.1007/s10958-008-0026-z
,2008, 'A Cesaro mean convergence of martingale differences in rearrangement nvariant spaces', Positivity, 12, pp. 387 - 406
,2008, 'Lipschitz and commutator estimates in symmetric operator spaces', Journal of Operator Theory, 59, pp. 211 - 234
,2008, 'Rademacher averages on noncommutative symmetric spaces', Journal of Functional Analysis, 255, pp. 3329 - 3355
,2008, 'Rearrangement-invariant functionals with applications to traces on symmetrically', Canadian Mathematical Bulletin, 51, pp. 67 - 80
,2008, 'Spectral averaging for trace compatible operators', Proceedings of the American Mathematical Society, 136, pp. 1769 - 1778
,2008, 'Symmetric norms and spaces of operators', Journal fur die Reine und Angewandte Mathematik, 621, pp. 81 - 121
,2008, 'The Banach-Saks index of spaces with a symmetric basis', Dokl. Akad. Nauk, 420, pp. 314 - 315
,2008, 'The Chern character of semifinite spectral triples', Journal of Noncommutative Geometry, 2, pp. 141 - 193, http://dx.doi.org/10.4171/JNCG/18
,2007, 'Commutator estimates and ℝ-flows in non-commutative operator spaces', Proceedings of the Edinburgh Mathematical Society, 50, pp. 293 - 324, http://dx.doi.org/10.1017/S0013091505000957
,2007, 'Banach-Saks properties in symmetric spaces of measurable operators', Studia Mathematica, 178, pp. 125 - 166
,2007, 'Banach-Saks property in Marcinkiewicz spaces', Journal of Mathematical Analysis and Applications, 336, pp. 1231 - 1258
,2007, 'Commutator estimates and R-flows in non-commutative operator spaces', Proceedings of the Edinburgh Mathematical Society, 50, pp. 247 - 261
,2007, 'Interpolation of positive operators', Mathematical Notes, 81, pp. 37 - 50, http://dx.doi.org/10.1134/S000143460701004X
,2007, 'Non-(quantum) differentiable C1-functions in the spaces with trivial Boyd indices', Integral Equations and Operator Theory, 57, pp. 247 - 261
,2007, 'The Dixmier trace and asymptotics of zeta functions', Journal of Functional Analysis, 249, pp. 253 - 283
,2007, 'The p-Banach-Saks property in symmetric operator spaces', Illinois Journal of Mathematics, 51, pp. 1207 - 1229
,2007, 'The spectral shift function and spectral flow', Communications in Mathematical Physics, 276, pp. 51 - 91
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