On the denseness of the invertible group in Banach algebras

2002/03/26 by Thomas William Dawson, T. W. Dawson, Dawson, T. W. +2
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #math.FA #msc:46H05 #msc:46J10

paper · pdf · doi:10.48550/arxiv.math/0203266

8 pages, prepared in Plain TeX

arxiv created 2002/03/26 · arxiv updated 2009/11/30

Abstract

We examine the condition that a complex Banach algebra A have dense invertible group. We show that, for commutative algebras, this property is preserved by integral extensions. We also investigate the connections with an old problem in the theory of uniform algebras.

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