Select Publications
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
, 2016, $\Phi$-moment inequalities for independent and freely independent random variables, http://dx.doi.org/10.48550/arxiv.1608.07368
, 2016, Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory, http://dx.doi.org/10.48550/arxiv.1608.07367
, 2015, Algebras of log-integrable functions and operators, http://dx.doi.org/10.48550/arxiv.1509.03360
, 2015, An upper triangular decomposition theorem for some unbounded operators affiliated to II_1-factors, http://dx.doi.org/10.48550/arxiv.1509.03358
, 2015, On reduction theory and Brown measure for closed unbounded operators, http://dx.doi.org/10.48550/arxiv.1509.03362
, 2015, Catalysis in the trace class and weak trace class ideals, http://dx.doi.org/10.48550/arxiv.1506.05974
, 2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, http://dx.doi.org/10.48550/arxiv.1506.00778
, 2014, On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p, http://dx.doi.org/10.48550/arxiv.1406.4950
, 2013, Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.1310.2524
, 2013, Weak type estimates for the absolute value mapping, http://dx.doi.org/10.48550/arxiv.1309.3378
, 2013, A decomposition theorem in II_1-factors, http://dx.doi.org/10.48550/arxiv.1302.1114
, 2012, Dixmier traces generated by exponentiation invariant generalised limits, http://dx.doi.org/10.48550/arxiv.1210.3398
, 2012, On the distinction between the classes of Dixmier and Connes-Dixmier traces, http://dx.doi.org/10.48550/arxiv.1210.3397
, 2010, Kruglov operator and operators defined by random permutations, http://dx.doi.org/10.48550/arxiv.1003.2009
, 2010, Lidskii-type formulae for Dixmier traces, http://dx.doi.org/10.48550/arxiv.1003.1813