On the denseness of the invertible group in Banach algebras

Details On the denseness of the invertible group in Banach algebras On the denseness of the invertible group in Banach algebras

2002-03-26

arxiv.org/abs/math/0203266v1

Mathematics

Functional Analysis

8 pages, prepared in Plain TeX

Scientific paper

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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