HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS

DOI10.1017/S1474748019000033MaRDI QIDQ5140581

Anna Skripka, Christian Le Merdy

Publication date: 16 December 2020

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05586

zbMATH Keywords

Schatten-von Neumann classesdifferentiation of operator functions

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative function spaces (46L52) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (6)

Perturbation theory and higher order \(\mathcal{S}^{p}\)-differentiability of operator functions ⋮ Noncommutative \(C^k\) functions and Fréchet derivatives of operator functions ⋮ Necessary and sufficient conditions for 𝑛-times Fréchet differentiability on 𝒮^{𝓅}, 1<𝓅<∞ ⋮ Complete boundedness of multiple operator integrals ⋮ Higher derivatives of operator functions in ideals of von Neumann algebras ⋮ When do triple operator integrals take value in the trace class?

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