Higher‐order spectral shift for contractions
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Publication:5404129
DOI10.1112/plms/pdt024zbMath1293.47012arXiv1210.8227OpenAlexW2082709881MaRDI QIDQ5404129
Denis Potapov, Anna Skripka, Pheodor A. Sukochev
Publication date: 21 March 2014
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.8227
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)
Related Items (11)
Trace formulas for additive and non-additive perturbations ⋮ Spectral shift functions and Dirichlet-to-Neumann maps ⋮ Estimates and trace formulas for unitary and resolvent comparable perturbations ⋮ Multilinear Schur multipliers and Schatten properties of operator Taylor remainders ⋮ Higher-order spectral shift for pairs of contractions via multiplicative path ⋮ Perturbation formulas for traces on normed ideals ⋮ Higher order \(\mathcal{S}^2\)-differentiability and application to Koplienko trace formula ⋮ Trace formulas for resolvent comparable operators ⋮ The Koplienko-Neidhardt trace formula for unitaries -- a new proof ⋮ Fréchet differentiability of \(\mathcal{S}^p\) norms ⋮ Functions of unitary operators: derivatives and trace formulas
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