Perturbations of functions of operators in a banach space

Michael I. Gil'

doi:10.1007/s11040-009-9069-8

Perturbations of functions of operators in a banach space

Michael I. Gil'

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We consider an analytic function f of bounded operators A and Ã represented by infinite matrices in a Banach space with a Schauder basis. Sharp inequalities for the norm of f(A) - f(Ã) are established. Applications to differential equations are also discussed.

Original language	English
Pages (from-to)	69-82
Number of pages	14
Journal	Mathematical Physics Analysis and Geometry
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/s11040-009-9069-8
State	Published - 1 Feb 2010

Keywords

Differential equations in a Banach space
Green's functions
Hille-Tamarkin matrices
Infinite matrices
Operator valued functions
Operators with Hilbert-Schmidt Hermitian components
Perturbations

ASJC Scopus subject areas

Mathematical Physics
Geometry and Topology

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10.1007/s11040-009-9069-8

Cite this

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abstract = "We consider an analytic function f of bounded operators A and {\~A} represented by infinite matrices in a Banach space with a Schauder basis. Sharp inequalities for the norm of f(A) - f({\~A}) are established. Applications to differential equations are also discussed.",

keywords = "Differential equations in a Banach space, Green's functions, Hille-Tamarkin matrices, Infinite matrices, Operator valued functions, Operators with Hilbert-Schmidt Hermitian components, Perturbations",

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N2 - We consider an analytic function f of bounded operators A and Ã represented by infinite matrices in a Banach space with a Schauder basis. Sharp inequalities for the norm of f(A) - f(Ã) are established. Applications to differential equations are also discussed.

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KW - Green's functions

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KW - Infinite matrices

KW - Operator valued functions

KW - Operators with Hilbert-Schmidt Hermitian components

KW - Perturbations

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Perturbations of functions of operators in a banach space

Abstract

Keywords

ASJC Scopus subject areas

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