Select Publications
Journal articles
, 2016, 'On reduction theory and Brown measure for closed unbounded operators', Journal of Functional Analysis, 271, pp. 3403 - 3422, http://dx.doi.org/10.1016/j.jfa.2016.09.015
, 2016, 'Algebras of Log-Integrable Functions and Operators', Complex Analysis and Operator Theory, 10, pp. 1775 - 1787, http://dx.doi.org/10.1007/s11785-016-0569-9
, 2016, 'Trace formulas for a class of non-Fredholm operators: A review', Reviews in Mathematical Physics, 28, http://dx.doi.org/10.1142/S0129055X16300028
, 2016, 'Catalysis in the trace class and weak trace class ideals', Proceedings of the American Mathematical Society, 144, pp. 2461 - 2471, http://dx.doi.org/10.1090/proc/12889
, 2016, 'On index theory for non-Fredholm operators: A (1 + 1)-dimensional example', Mathematische Nachrichten, 289, pp. 575 - 609, http://dx.doi.org/10.1002/mana.201500065
, 2016, 'Φ-moment inequalities for independent and freely independent random variables', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2016.02.001
, 2016, 'Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory', Journal of the London Mathematical Society, 94, pp. 113 - 140, http://dx.doi.org/10.1112/jlms/jdw024
, 2016, 'Universal measurability and the Hochschild class of the Chern character', Journal of Spectral Theory, 6, pp. 1 - 41, http://dx.doi.org/10.4171/JST/116
, 2015, 'Banach limits and traces on L1,∞', Advances in Mathematics, 285, pp. 568 - 628, http://dx.doi.org/10.1016/j.aim.2015.08.010
, 2015, 'A decomposition theorem in II
, 2015, 'Singular traces and perturbation formulae of higher order', Journal of Functional Analysis, 269, pp. 1441 - 1481, http://dx.doi.org/10.1016/j.jfa.2015.04.019
, 2015, 'Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras', Illinois Journal of Mathematics, 59, pp. 819 - 824, http://dx.doi.org/10.1215/ijm/1475266410
, 2015, 'On uniqueness of distribution of a random variable whose independent copies span a subspace in L
, 2015, 'Weak type estimates for the absolute value mapping', Journal of Operator Theory, 73, pp. 361 - 384, http://dx.doi.org/10.7900/jot.2013dec20.2021
, 2014, 'Dixmier traces are weak* dense in the set of all fully symmetric traces', Journal of Functional Analysis, 266, pp. 6158 - 6173, http://dx.doi.org/10.1016/j.jfa.2014.03.001
, 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
, 2024, Kuroda's theorem for $n$-tuples in semifinite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2409.15852
, 2024, Diagonality modulo symmetric spaces in semifinite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2404.00259
, 2023, $C^{\ast}$-algebraic approach to the principal symbol. III, http://dx.doi.org/10.48550/arxiv.2309.04500
, 2023, Local invariants of conformally deformed non-commutative tori II: multiple operator integrals, http://dx.doi.org/10.48550/arxiv.2303.04686
, 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