Lipschitz functions of perturbed operators

DOI10.1016/J.CRMA.2009.05.003zbMath1169.47015arXiv0905.4855OpenAlexW2964153199MaRDI QIDQ2271995

Vladimir V. Peller, F. L. Nazarov

Publication date: 5 August 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4855

zbMATH Keywords

self-adjoint operatorLipschitz functionperturbed operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Functional calculus for linear operators (47A60) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Perturbation theory of linear operators (47A55) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (11)

Spectral theory of discontinuous functions of self-adjoint operators: Essential spectrum ⋮ Operator-Lipschitz functions in Schatten-von Neumann classes ⋮ Weak type operator Lipschitz and commutator estimates for commuting tuples ⋮ Estimates of operator moduli of continuity ⋮ The best constants for operator Lipschitz functions on Schatten classes ⋮ Functions of perturbed \(n\)-tuples of commuting self-adjoint operators ⋮ BMO-estimates for non-commutative vector valued Lipschitz functions ⋮ Functions of operators under perturbations of class \(S_p\) ⋮ Weak \((1,1)\) estimates for multiple operator integrals and generalized absolute value functions ⋮ The optimal range of the Calderòn operator and its applications ⋮ Operator \(\theta\)-Hölder functions

Cites Work

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• Functions of perturbed operators
• Hankel operators in the perturbation theory of unitary and self-adjoint operators

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