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Banach function algebras with dense invertible group

2004/11/03 by H. G. Dales, Dales, H. G., J. F. Feinstein +1
Mathematics · #46J10 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46J10

paper · pdf · doi:10.48550/arxiv.math/0411067

11 pages, LaTeX, no figures

arxiv created 2004/11/03 · openalex publication_date 2004/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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