Select Publications
Preprints
2020, Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions, http://dx.doi.org/10.48550/arxiv.2004.02145
,2020, Non-existence of translation-invariant derivations on algebras of measurable functions, http://dx.doi.org/10.48550/arxiv.2002.00590
,2019, Full proof of Kwapień's theorem on representing bounded mean zero functions on $[0,1]$, http://dx.doi.org/10.48550/arxiv.1911.13006
,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, Notes on derivations of Murray--von Neumann algebras, http://dx.doi.org/10.48550/arxiv.1906.00243
,2019, Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart, http://dx.doi.org/10.48550/arxiv.1904.06068
,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, Higher order $\Sc^2$-differentiability and application to Koplienko trace formula, http://dx.doi.org/10.48550/arxiv.1712.10289
,2017, On the Global Limiting Absorption Principle for Massless Dirac Operators, http://dx.doi.org/10.48550/arxiv.1711.01029
,2017, When do triple operator integrals take value in the trace class?, http://dx.doi.org/10.48550/arxiv.1706.01662
,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, 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, Double operator integral methods applied to continuity of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1511.07998
,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, On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example, http://dx.doi.org/10.48550/arxiv.1509.01356
,2015, On the Index of a Non-Fredholm Model Operator, http://dx.doi.org/10.48550/arxiv.1509.01580
,2015, Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case, http://dx.doi.org/10.48550/arxiv.1509.00616
,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
,2015, The Spectral shift function and the Witten index, http://dx.doi.org/10.48550/arxiv.1505.04895
,2015, Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae, http://dx.doi.org/10.48550/arxiv.1504.03843
,2015, Operator Lipschitz functions on Banach spaces, http://dx.doi.org/10.48550/arxiv.1501.03267
,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
,2014, Some Operator Bounds Employing Complex Interpolation Revisited, http://dx.doi.org/10.48550/arxiv.1405.1517
,2014, A Jost-Pais-type reduction of Fredholm determinants and some applications, http://dx.doi.org/10.48550/arxiv.1404.0739
,2014, On the Witten index in terms of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1404.0740
,2014, Spectral flow for nonunital spectral triples, http://dx.doi.org/10.48550/arxiv.1401.1354
,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, Dixmier traces and extrapolation description of noncommutative Lorentz spaces, http://dx.doi.org/10.48550/arxiv.1302.1367
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