Banach function algebras with dense invertible group

Mathematics – Functional Analysis

Scientific paper

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11 pages, LaTeX, no figures

Scientific paper

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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