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Select Publications
Conference Papers
, 2007, 'Commutator estimates in the operator Lp-spaces', in Proceedings of the Centre for Mathematics and its applications, presented at
Preprints
, 2025, Fuglede theorem for symmetric spaces of $τ$-measurable operators, http://dx.doi.org/10.48550/arxiv.2512.14006
, 2022, The Witten index and the spectral shift function, http://dx.doi.org/10.48550/arxiv.2101.06812
, 2019, On a trace formula for functions of noncommuting operators, http://dx.doi.org/10.48550/arxiv.1901.09495
, 2017, On the Global Limiting Absorption Principle for Massless Dirac Operators, http://dx.doi.org/10.48550/arxiv.1711.01029
, 2016, Singular traces and perturbation formulae of higher order, http://dx.doi.org/10.48550/arxiv.1612.04511
, 2016, Trace Formulas for a Class of non-Fredholm Operators: A Review, http://dx.doi.org/10.48550/arxiv.1610.04954
, 2016, Double operator integral methods applied to continuity of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1511.07998
, 2015, On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example, http://dx.doi.org/10.48550/arxiv.1509.01356
, 2015, Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case, http://dx.doi.org/10.48550/arxiv.1509.00616
, 2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, http://dx.doi.org/10.48550/arxiv.1506.00778
, 2015, Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae, http://dx.doi.org/10.48550/arxiv.1504.03843
, 2014, On the Witten index in terms of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1404.0740
, 2014, The best constants for operator Lipschitz functions on Schatten classes, http://dx.doi.org/10.48550/arxiv.1209.3948
, 2014, Weak type estimates for the absolute value mapping, http://dx.doi.org/10.48550/arxiv.1309.3378
, 2014, A Jost-Pais-type reduction of Fredholm determinants and some applications, http://dx.doi.org/10.48550/arxiv.1404.0739
, 2012, Spectral shift function of higher order, http://dx.doi.org/10.48550/arxiv.0912.3056
, 2012, Higher order spectral shift for contractions, http://dx.doi.org/10.48550/arxiv.1210.8227
, 2012, Traces of compact operators and the noncommutative residue, http://dx.doi.org/10.48550/arxiv.1210.3423
, 2011, The Walsh basis in the Lp-spaces of hyperfinite III_λ-factors, 0 < λ<= 1, http://dx.doi.org/10.48550/arxiv.1111.2403
, 2010, Functions of normal operators under perturbations, http://dx.doi.org/10.48550/arxiv.1008.1638
, 2010, Functions of perturbed normal operators, http://dx.doi.org/10.48550/arxiv.1003.5286
, 2009, Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators, http://dx.doi.org/10.48550/arxiv.0807.2129
, 2008, Non- (quantum) differentiable $C^1$-functions in the spaces with trivial Boyd indices, http://dx.doi.org/10.48550/arxiv.0808.2856
, 2008, The Haar system in the preduals of hyperfinite factors, http://dx.doi.org/10.48550/arxiv.0808.2851
, 2008, Unbounded Fredholm modules and double operator integrals, http://dx.doi.org/10.48550/arxiv.0808.2854