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On the denseness of the invertible group in Banach algebras

T. W. Dawson·J. F. Feinstein
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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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BibTeXRIS

T. W. Dawson, J. F. Feinstein. 2002-03-26. On the denseness of the invertible group in Banach algebras. https://arxiv.org/abs/math/0203266

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