Functions of perturbed \(n\)-tuples of commuting self-adjoint operators

DOI10.1016/J.JFA.2014.01.013zbMath1312.47009arXiv1308.5147OpenAlexW2963281138MaRDI QIDQ2253289

Vladimir V. Peller, F. L. Nazarov

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5147

zbMATH Keywords

double operator integralsSchatten-von Neumann classesoperator-Lipschitz functions\(n\)-tuples of commuting self-adjoint operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Perturbation theory of linear operators (47A55) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (10)

Multiple operator integrals in perturbation theory ⋮ Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals ⋮ Estimates on singular values of functions of perturbed operators ⋮ Miscellaneous on commutants mod normed ideals and quasicentral modulus. I ⋮ Operator Lipschitz functions in several variables and Möbius transformations ⋮ Functions of perturbed pairs of noncommuting contractions ⋮ On a trace formula for functions of noncommuting operators ⋮ Triple operator integrals in Schatten-von Neumann norms and functions of perturbed noncommuting operators ⋮ Functions of perturbed noncommuting self-adjoint operators ⋮ Functions of triples of noncommuting self-adjoint operators under perturbations of class $\boldsymbol {S}_p$

Cites Work

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• Functions of perturbed tuples of self-adjoint operators
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• Operator Hölder-Zygmund functions
• Functions of perturbed normal operators
• Functions of perturbed operators
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Double operator integrals in a Hilbert space
• Tensor product of a finite number of spectral measures is always a spectral measure
• The range of a normal derivation
• Lipschitz functions of perturbed operators
• Functions of perturbed unbounded self-adjoint operators. Operator Bernstein type inequalities
• Hölder functions are operator-Hölder
• Some Commutator Estimates in the Schatten Classes
• Operator smoothness in Schatten norms for functions of several variables: Lipschitz conditions, differentiability and unbounded derivations
• Operator and commutator moduli of continuity for normal operators
• Some Remarks on the Fuglede-Weiss Theorem

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