Select Publications
Preprints
, 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
, 2013, A decomposition theorem in II_1-factors, http://dx.doi.org/10.48550/arxiv.1302.1114
, 2012, Higher order spectral shift for contractions, http://dx.doi.org/10.48550/arxiv.1210.8227
, 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
, 2012, Traces of compact operators and the noncommutative residue, http://dx.doi.org/10.48550/arxiv.1210.3423
, 2012, The best constants for operator Lipschitz functions on Schatten classes, http://dx.doi.org/10.48550/arxiv.1209.3948
, 2012, Derivations on symmetric quasi-Banach ideals of compact operators, http://dx.doi.org/10.48550/arxiv.1204.4297
, 2011, The Walsh basis in the Lp-spaces of hyperfinite III_\lambda-factors, 0 < \lambda <= 1, http://dx.doi.org/10.48550/arxiv.1111.2403
, 2011, Index theory for locally compact noncommutative geometries, http://dx.doi.org/10.48550/arxiv.1107.0805
, 2010, Best constants in Rosenthal-type inequalities and the Kruglov operator, http://dx.doi.org/10.48550/arxiv.1011.1381
, 2010, Measure Theory in Noncommutative Spaces, http://dx.doi.org/10.48550/arxiv.1009.3095
, 2010, Functions of normal operators under perturbations, http://dx.doi.org/10.48550/arxiv.1008.1638
, 2010, The index formula and the spectral shift function for relatively trace class perturbations, http://dx.doi.org/10.48550/arxiv.1004.1582
, 2010, Functions of perturbed normal operators, http://dx.doi.org/10.48550/arxiv.1003.5286