A counterexample to a theorem of Bremermann on Shilov boundaries - revisited

TL;DR

This paper revisits a previously discussed example to clarify gaps and fully describe the Shilov boundary, contributing to the understanding of Bremermann's theorem.

Contribution

It provides a detailed clarification and completion of the example related to Bremermann's theorem on Shilov boundaries.

Findings

Identified gaps in the previous example

Completed the description of the Shilov boundary

Clarified aspects of Bremermann's theorem

Abstract

We continue to discuss the example presented in \cite{JarPfl2015}. In particular, we clarify some gaps and complete the description of the Shilov boundary.