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ArticleOriginal scientific text

Title

Raising bounded groups and splitting of radical extensions of commutative Banach algebras

Authors 1, 2, 3

Affiliations

  1. Department of Mathematics University of California Berkeley, CA 94720, U.S.A.
  2. Department of Mathematics, University of California, Los Angeles, CA 90024, U.S.A.
  3. Department of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ, Scotland

Abstract

Let A be a commutative unital Banach algebra and let A/ℛ be the quotient algebra of A modulo its radical ℛ. This paper is concerned with raising bounded groups in A/ℛ to bounded groups in the algebra A. The results will be applied to the problem of splitting radical extensions of certain Banach algebras.

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Studia Mathematica
2000/141/1
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Pages:
85-98
Main language of publication
English
Received
1999-12-07
Accepted
2000-03-17
Published
2000
Exact and natural sciences