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ArticleOriginal scientific text

Title

Continuity of generalized inverses in Banach algebras

Authors 1, 2

Affiliations

  1. Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, D-64289 Darmstadt, Germany
  2. Fakultät für Mathematik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany

Abstract

The main topic of the paper is the continuity of several kinds of generalized inversion of elements in a Banach algebra with identity. We introduce the notion of asymptotic generalized invertibility and completely characterize sequences of elements with this property. Based on this result, we derive continuity criteria which generalize the well known criteria from operator theory.

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Studia Mathematica
1999/136/3
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Pages:
197-227
Main language of publication
English
Received
1998-11-16
Accepted
1999-01-11
Published
1999
Exact and natural sciences