Functions of perturbed operators

DOI10.1016/j.crma.2009.03.004zbMath1168.47011arXiv1009.0298OpenAlexW1993040102MaRDI QIDQ1018113

Vladimir V. Peller, Aleksei B. Aleksandrov

Publication date: 13 May 2009

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

Full work available at URL: https://arxiv.org/abs/1009.0298

zbMATH Keywords

selfadjoint operatorSchatten-von Neumann classHölder classnorm estimates for operators.

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) Perturbation theory of linear operators (47A55)

Related Items

Multiple operator integrals in perturbation theory, Functions of perturbed tuples of self-adjoint operators, Functions of normal operators under perturbations, Estimates of operator moduli of continuity, Functions of perturbed dissipative operators, Hölder functions are operator-Hölder, Functions of perturbed \(n\)-tuples of commuting self-adjoint operators, Functions of operators under perturbations of class \(S_p\), Operator Hölder-Zygmund functions, Functions of perturbed normal operators, Lipschitz functions of perturbed operators, Operator-Lipschitz estimates for the singular value functional calculus

Cites Work

• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Multiple operator integrals and higher operator derivatives
• Modulus of continuity of operator functions
• Continuity of the map $S \to \left| S \right|$ for linear operators
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