Published March 2010 | Version v1
Journal article

Perturbations of Functions of Operators in a Banach Space

  • 1. Ben Gurion University of the Negev, Department of Mathematics (Israel)

Description

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

Additional details

Identifiers

Publishing Information

Journal Title
Mathematical Physics, Analysis and Geometry
Journal Volume
13
Journal Issue
1
Journal Page Range
p. 69-82
ISSN
1385-0172

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42071922
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ANALYTIC FUNCTIONS; BANACH SPACE; DIFFERENTIAL EQUATIONS; MATRICES; PERTURBATION THEORY
Descriptors DEC
EQUATIONS; FUNCTIONS; MATHEMATICAL SPACE; SPACE

Optional Information

Copyright
Copyright (c) 2010 Springer Science+Business Media B.V.