Operator and commutator moduli of continuity for normal operators

DOI10.1112/plms/pds012zbMath1262.47017arXiv1108.4637OpenAlexW3101249516MaRDI QIDQ4649440

Vladimir V. Peller, Aleksei B. Aleksandrov

Publication date: 22 November 2012

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

Full work available at URL: https://arxiv.org/abs/1108.4637

zbMATH Keywords

perturbationsmodulus of continuitynormal operatorscommutatorsSchur multipliersBesov classesHölder classesdouble operator integralsSchatten-von Neumann classesoperator Lipschitz functions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (8)

Multiple operator integrals in perturbation theory ⋮ Commutator Lipschitz functions and analytic continuation ⋮ Distance to normal elements in 𝐶*-algebras of real rank zero ⋮ Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0&lt; p\leqslant \infty$ ⋮ Operator Lipschitz functions in several variables and Möbius transformations ⋮ Functions of perturbed \(n\)-tuples of commuting self-adjoint operators ⋮ Operator Lipschitz functions and model spaces ⋮ Operator Lipschitz functions and linear fractional transformations

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