Resolution of Peller's problem concerning Koplienko–Neidhardt trace formulae

DOI10.1112/PLMS/PDW024zbMath1372.47020arXiv1504.03843OpenAlexW2292213542MaRDI QIDQ2827964

Denis Potapov, Clement Coine, Anna Tomskova, Christian Le Merdy, Pheodor A. Sukochev

Publication date: 24 October 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.03843

zbMATH Keywords

Hilbert-Schmidt classself-adjoint operatorsKoplienko-Neidhardt trace formulae

Mathematics Subject Classification ID

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 (5)

Multilinear Schur multipliers and Schatten properties of operator Taylor remainders ⋮ Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case ⋮ Weak \((1,1)\) estimates for multiple operator integrals and generalized absolute value functions ⋮ Bilinear operator multipliers into the trace class ⋮ When do triple operator integrals take value in the trace class?

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