Select Publications
Preprints
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, 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
,2010, Kruglov operator and operators defined by random permutations, , http://dx.doi.org/10.48550/arxiv.1003.2009
,2010, On a Question of A. E. Nussbaum on Measurability of Families of Closed Linear Operators in a Hilbert Space, , http://dx.doi.org/10.48550/arxiv.1002.2733
,2009, Spectral shift function of higher order, , http://dx.doi.org/10.48550/arxiv.0912.3056
,2009, Integration on locally compact noncommutative spaces, , http://dx.doi.org/10.48550/arxiv.0912.2817
,2009, Noncommutative Residues and a Characterisation of the Noncommutative Integral, , http://dx.doi.org/10.48550/arxiv.0905.0187
,2008, Rademacher averages on noncommutative symmetric spaces, , http://dx.doi.org/10.48550/arxiv.0803.4404
,2007, The spectral shift function and spectral flow, , http://dx.doi.org/10.48550/arxiv.0705.1392
,2007, Operator integrals, spectral shift and spectral flow, , http://dx.doi.org/10.48550/arxiv.math/0703442
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