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ArticleOriginal scientific text

Title

Perturbation theory relative to a Banach algebra of operators

Authors 1

Affiliations

  1. Department of Mathematics, University of Oregon, Eugene, Oregon 97403, U.S.A.

Abstract

Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. Let S be a closed linear operator in X, and let R be a linear operator in X. In this paper the spectral and Fredholm theory relative to ℬ of the perturbed operator S + R is developed. In particular, the situation where R is S-inessential relative to ℬ is studied. Several examples are given to illustrate the usefulness of these concepts.

Keywords

ENG
Banach algebra of operators, Fredholm operator, perturbation theory, essential spectrum

Bibliography

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Studia Mathematica
1993/106/2
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Pages:
153-174
Main language of publication
English
Received
1992-06-02
Accepted
1993-03-16
Published
1993
Exact and natural sciences