Continuity of generalized inverses in Banach algebras

• Autorzy: Steffen Roch , Bernd Silbermann
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 46H99: None of the above, but in this section
• 65F99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 136
• Numer: 3
• Strony: 197-227

Daty

wydano

1999

otrzymano

1998-11-16

poprawiono

1999-01-11

Twórcy

autor

Steffen Roch

• Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, D-64289 Darmstadt, Germany

autor

Bernd Silbermann

• Fakultät für Mathematik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany

Bibliografia

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