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arXiv · 1309.3657

A counterexample to a theorem of Bremermann on Shilov boundaries

Marek Jarnicki·Peter Pflug
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Abstract

We give a counterexample to the following theorem of Bremermann on Shilov boundaries: if $D$ is a bounded domain in $\mathbb C^n$ having a univalent envelope of holomorphy, say $\widetilde D$, then the Shilov boundary of $D$ with respect to the algebra $\mathcal A(D)$ coincides with the corresponding one for $\widetilde D$.

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Marek Jarnicki, Peter Pflug. 2013-09-14. A counterexample to a theorem of Bremermann on Shilov boundaries. https://arxiv.org/abs/1309.3657

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