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Banach function algebras with dense invertible group

H. G. Dales·J. F. Feinstein
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Abstract

In an earlier paper, Dawson and the second author asked whether or not a Banach function algebra with dense invertible group can have a proper Shilov boundary. We give an example of a uniform algebra showing that this can happen, and investigate the properties of such algebras.

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H. G. Dales, J. F. Feinstein. 2004-11-03. Banach function algebras with dense invertible group. https://arxiv.org/abs/math/0411067

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