On the denseness of the invertible group in Banach algebras

Dawson, T.; Feinstein, J.

doi:10.1090/S0002-9939-03-07058-8

On the denseness of the invertible group in Banach algebras
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by T. W. Dawson and J. F. Feinstein

Proc. Amer. Math. Soc. 131 (2003), 2831-2839

DOI: https://doi.org/10.1090/S0002-9939-03-07058-8

Published electronically: April 7, 2003

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Abstract:

We examine the condition that a complex Banach algebra $A$ has 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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