Higher order \(\mathcal{S}^2\)-differentiability and application to Koplienko trace formula

DOI10.1016/j.jfa.2018.09.005OpenAlexW2890311694MaRDI QIDQ1732309

Anna Skripka, Christian Le Merdy, Pheodor A. Sukochev, Clement Coine

Publication date: 22 March 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.10289

zbMATH Keywords

perturbation theoryHilbert space factorizationdifferentiation of operator functions

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Noncommutative function spaces (46L52) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (7)

Perturbation theory and higher order \(\mathcal{S}^{p}\)-differentiability of operator functions ⋮ Noncommutative \(C^k\) functions and Fréchet derivatives of operator functions ⋮ HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS ⋮ Weak \((1,1)\) estimates for multiple operator integrals and generalized absolute value functions ⋮ Central and convolution Herz-Schur multipliers ⋮ Complete boundedness of multiple operator integrals ⋮ When do triple operator integrals take value in the trace class?

Cites Work

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• When do triple operator integrals take value in the trace class?
• Fréchet differentiability of \(\mathcal{S}^p\) norms
• Multilinear Schur multipliers and Schatten properties of operator Taylor remainders
• Multiple operator integrals and higher operator derivatives
• The Lifshitz–Krein trace formula and operator Lipschitz functions
• Taylor approximations of operator functions
• Operator Lipschitz functions
• Schur multipliers on $\mathcal{B}(L^p,L^q)$
• Multidimensional operator multipliers
• Operator Integrals, Spectral Shift, and Spectral Flow
• Higher‐order spectral shift for contractions

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