Functions of perturbed noncommuting unbounded selfadjoint operators

DOI10.1090/spmj/1784arXiv2109.02339OpenAlexW3197453093WikidataQ129276468 ScholiaQ129276468MaRDI QIDQ6153517

Vladimir V. Peller, Aleksei B. Aleksandrov

Publication date: 14 February 2024

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

Full work available at URL: https://arxiv.org/abs/2109.02339

zbMATH Keywords

spectral measuresBesov spacesSchur multiplierSchatten-von Neumann classdouble operator integralstriple operator integrals

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25)

Cites Work

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• Multiple operator integrals in perturbation theory
• Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals
• Functions of operators under perturbations of class \(S_p\)
• Operator Hölder-Zygmund functions
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Operator Lipschitz functions
• Multidimensional operator multipliers
• Multiple operator integrals, Haagerup and Haagerup‐like tensor products, and operator ideals
• Integration and differentiation of functions of Hermitian operators and applications to the theory of perturbations
• Functions of perturbed commuting dissipative operators

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