Relatively bounded and relatively trace class perturbations

In this note we study the behaviour of functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. We introduce and study the class of relatively operator Lipschitz functions. We obtain a trace formula in the case of relatively trace class perturbations and...

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Bibliographic Details
Main Authors:	Aleksandrov, Aleksei B., Peller, Vladimir V.
Format:	Article
Language:	English
Published:	Académie des sciences 2025-05-01
Series:	Comptes Rendus. Mathématique
Subjects:	Relatively bounded perturbation relatively trace class perturbation relatively operator Lipschitz class trace formula self-adjoint operators double operator integrals
Online Access:	https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.722/
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Relatively bounded and relatively trace class perturbations

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