On polynomial approximation of the inverse of an operator

Avraham Feintuch

doi:10.1016/j.laa.2004.04.004

On polynomial approximation of the inverse of an operator

Avraham Feintuch

Department of Mathematics

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

2 Scopus citations

Abstract

We consider the question: When is the inverse of a Hilbert space operator the limit (in the standard operator topologies) of a sequence of polynomials in the operator? A necessary and sufficient condition is given for the norm topology and there is a discussion of the problem for the strong and weak topologies.

Original language	English
Pages (from-to)	323-328
Number of pages	6
Journal	Linear Algebra and Its Applications
Volume	389
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2004.04.004
State	Published - 15 Sep 2004

Keywords

Invariant subspace
Invertible operator
Resolvent

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2004.04.004

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AB - We consider the question: When is the inverse of a Hilbert space operator the limit (in the standard operator topologies) of a sequence of polynomials in the operator? A necessary and sufficient condition is given for the norm topology and there is a discussion of the problem for the strong and weak topologies.

KW - Invariant subspace

KW - Invertible operator

KW - Resolvent

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JO - Linear Algebra and Its Applications

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On polynomial approximation of the inverse of an operator

Abstract

Keywords

ASJC Scopus subject areas

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