Multilinear Schur multipliers and Schatten properties of operator Taylor remainders

DOI10.1016/j.aim.2017.09.012OpenAlexW2758335633MaRDI QIDQ2411351

Anna Tomskova, Denis Potapov, Anna Skripka, Pheodor A. Sukochev

Publication date: 20 October 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2017.09.012

zbMATH Keywords

multilinear Schur multipliersTaylor approximations of operator functions

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 (11)

Estimates and trace formulas for unitary and resolvent comparable perturbations ⋮ Tracial bounds for multilinear Schur multipliers ⋮ Multilinear Schur multipliers and Schatten properties of operator Taylor remainders ⋮ Multilinear transference of Fourier and Schur multipliers acting on noncommutative -spaces ⋮ Noncommutative \(C^k\) functions and Fréchet derivatives of operator functions ⋮ HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS ⋮ MSE bounds for estimators of matrix functions ⋮ Higher order \(\mathcal{S}^2\)-differentiability and application to Koplienko trace formula ⋮ Weak \((1,1)\) estimates for multiple operator integrals and generalized absolute value functions ⋮ Stability and uniqueness properties of Taylor approximations of matrix functions ⋮ When do triple operator integrals take value in the trace class?

Cites Work

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