A functional calculus of closed operators on Banach space. III: Certain topics of perturbation theory

DOI10.3103/S1066369X17120039OpenAlexW2770036107MaRDI QIDQ1703179

A. R. Mirotin

Publication date: 1 March 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17120039

zbMATH Keywords

spectral shift functionLifshits-Krein trace formulamoment inequalityoperator differentiabilityoperator Lipschitznessperturbation of operator

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Related Items (1)

Lifshitz-Kreĭn trace formula for Hirsch functional calculus on Banach spaces

Cites Work

• Lipschitz functions, Schatten ideals, and unbounded derivations
• On some functional calculus of closed operators in a Banach space
• On some properties of the multidimensional Bochner-Phillips functional calculus
• On some functional calculus of closed operators in a Banach space. II
• Operator Lipschitz estimates in the unitary setting
• Operator Lipschitz functions on Banach spaces
• The Lifshitz–Krein trace formula and operator Lipschitz functions
• Operator Lipschitz functions
• Spectral localization, power boundedness and invariant subspaces under Ritt's type condition
• Operator smoothness in Schatten norms for functions of several variables: Lipschitz conditions, differentiability and unbounded derivations
• CLASSES OF OPERATOR-SMOOTH FUNCTIONS. I. OPERATOR-LIPSCHITZ FUNCTIONS
• On functional calculus properties of Ritt operators
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