Differentiability of functions of contractions

zbMath1183.47009arXiv0805.4370MaRDI QIDQ5322218

Vladimir V. Peller

Publication date: 20 July 2009

Full work available at URL: https://arxiv.org/abs/0805.4370

zbMATH Keywords

differentiability propertiesdirectional derivativesdouble operator integrals

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Perturbation theory of linear operators (47A55) Derivatives of functions in infinite-dimensional spaces (46G05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (12)

Multiple operator integrals in perturbation theory ⋮ Functions of perturbed commuting dissipative operators ⋮ Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions ⋮ Functions of normal operators under perturbations ⋮ Functions of perturbed pairs of noncommuting contractions ⋮ Absolute continuity of spectral shift ⋮ Functions of perturbed dissipative operators ⋮ Dissipative operators and operator Lipschitz functions ⋮ Koplienko spectral shift function on the unit circle ⋮ Functions of operators under perturbations of class \(S_p\) ⋮ Operator Hölder-Zygmund functions ⋮ A trace formula for functions of contractions and analytic operator Lipschitz functions

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