Select Publications
Journal articles
, 2014, 'Dixmier traces are weak* dense in the set of all fully symmetric traces', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2014.03.001
, 2014, 'Which traces are spectral?', Advances in Mathematics, 252, pp. 406 - 428, http://dx.doi.org/10.1016/j.aim.2013.10.028
, 2014, 'Completeness of quasi-normed operator ideals generated by s-numbers', Indagationes Mathematicae, 25, pp. 49 - 58, http://dx.doi.org/10.1016/j.indag.2013.07.005
, 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, 'Krein's trace theorem revisited', Journal of Spectral Theory, 4, pp. 415 - 430, http://dx.doi.org/10.4171/JST/75
, 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
, 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
, 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
, 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, 'Orbits in symmetric spaces, II', Studia Mathematica, 197, pp. 257 - 274, http://dx.doi.org/10.4064/sm197-3-4
, 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, 'Orbits in symmetric spaces', Journal of Functional Analysis, 257, pp. 194 - 218
, 2004, 'On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex', Russian Mathematical Surveys, 59, pp. 571 - 572, http://dx.doi.org/10.1070/RM2004v059n03ABEH000744
Preprints
, 2023, $C^{\ast}$-algebraic approach to the principal symbol. III, http://dx.doi.org/10.48550/arxiv.2309.04500
, 2022, Asymptotics of singular values for quantum derivatives, http://dx.doi.org/10.48550/arxiv.2209.12559
, 2022, Optimal range of Haar martingale transforms and its applications, http://arxiv.org/abs/2202.07154v1
, 2022, An Application of Singular Traces to Crystals and Percolation, http://dx.doi.org/10.1016/j.geomphys.2022.104608
, 2021, The density of states depends on the domain, http://dx.doi.org/10.48550/arxiv.2107.09828
, 2021, The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators, http://dx.doi.org/10.48550/arxiv.2105.03024
, 2021, Distributional inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.2103.08847
, 2020, Cwikel-Solomyak estimates on tori and Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2008.04494
, 2020, Corrigendum to the paper "The optimal range of the Calderon operator and its applications." [J. Funct. Anal. 277 (2019), no. 10, 3513--3559, arXiv:1908.09548], http://dx.doi.org/10.48550/arxiv.2004.13311
, 2020, Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions, http://dx.doi.org/10.48550/arxiv.2004.02145
, 2019, Rosenthal's inequalities: $\Delta-$norms and quasi-Banach symmetric sequence spaces, http://dx.doi.org/10.48550/arxiv.1910.12482
, 2019, A Dixmier trace formula for the density of states, http://dx.doi.org/10.48550/arxiv.1910.12380
, 2019, Dilation invariant Banach limits, http://dx.doi.org/10.48550/arxiv.1910.10899
, 2019, Logarithmic submajorization, uniform majorization and Hölder type inequalities for $\tau$-measurable operators, http://dx.doi.org/10.48550/arxiv.1910.10874
, 2019, The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications, http://dx.doi.org/10.48550/arxiv.1909.10897
, 2019, The optimal range of the Calder\`{o}n operator and its applications, http://dx.doi.org/10.48550/arxiv.1908.09548
, 2019, BMO-estimates for non-commutative vector valued Lipschitz functions, http://dx.doi.org/10.48550/arxiv.1903.10912
, 2018, Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators, http://dx.doi.org/10.48550/arxiv.1808.01772
, 2018, The Connes character formula for locally compact spectral triples, http://dx.doi.org/10.48550/arxiv.1803.01551
, 2017, Decomposibility and norm convergence properties in finite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.1709.06034
, 2017, Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra, http://dx.doi.org/10.48550/arxiv.1703.05695
, 2017, Trace theorem for quasi-Fuchsian groups, http://dx.doi.org/10.48550/arxiv.1703.05447
, 2017, Connes integration formula for the noncommutative plane, http://dx.doi.org/10.48550/arxiv.1703.04256
, 2017, Cwikel estimates revisited, http://dx.doi.org/10.48550/arxiv.1703.04254
, 2017, Weak type operator Lipschitz and commutator estimates for commuting tuples, http://dx.doi.org/10.48550/arxiv.1703.03089
, 2016, Banach limits and traces on $\mathcal L_{1,\infty}$, http://dx.doi.org/10.48550/arxiv.1612.04509
, 2016, Fuglede-Putnam theorem for locally measurable operators, http://dx.doi.org/10.48550/arxiv.1612.04492
, 2016, Krein's trace theorem revisited, http://dx.doi.org/10.48550/arxiv.1701.00697
, 2016, Singular traces and perturbation formulae of higher order, http://dx.doi.org/10.48550/arxiv.1612.04511
, 2016, Johnson-Schechtman inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.1612.04452
, 2016, Fubini theorem in noncommutative geometry, http://dx.doi.org/10.48550/arxiv.1612.04012
, 2016, Trace Formulas for a Class of non-Fredholm Operators: A Review, http://dx.doi.org/10.48550/arxiv.1610.04954