Functions of perturbed dissipative operators

DOI10.1090/S1061-0022-2012-01194-5zbMath1250.47013OpenAlexW2964324843WikidataQ59649911 ScholiaQ59649911MaRDI QIDQ5389605

Aleksei B. Aleksandrov, Vladimir V. Peller

Publication date: 22 April 2012

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2012-01194-5

zbMATH Keywords

Besov spacesdissipative operatorsSchatten-von Neumann classesHölder-Zygmund spacescontinuity moduliperturbations of operators

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (12)

Multiple operator integrals in perturbation theory ⋮ Estimates on singular values of functions of perturbed operators ⋮ Functions of perturbed commuting dissipative operators ⋮ Functions of perturbed pairs of noncommutative dissipative operators ⋮ Functions of normal operators under perturbations ⋮ Functions of perturbed pairs of noncommuting contractions ⋮ Absolute continuity of spectral shift ⋮ A Besov algebra calculus for generators of operator semigroups and related norm-estimates ⋮ Dissipative operators and operator Lipschitz functions ⋮ Functions of operators under perturbations of class \(S_p\) ⋮ Operator Hölder-Zygmund functions ⋮ Perturbation determinants for singular perturbations

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