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

Publication date: 10.11.2016

Universitatis Iagellonicae Acta Mathematica, 2016, Volume 53, pp. 21-25

https://doi.org/10.4467/20843828AM.16.003.5375

Authors

,
Marek Jarnicki
Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University
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Peter Pflug
Carl von Ossietzky Universitat Oldenburg Institut fur Mathematik Postfach 2503 D-26111 Oldenburg
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Titles

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

Abstract

We continue to discuss the example presented in [4]. In particular, we clarify some gaps and complete the description of the Shilov boundary.

References

1. Bishop E. A., A minimal boundary for function algebras, Pac. J. Math., 9 (1959), 629-642.

2. Fuks B. A., Special chapters in the theory of analytic functions of several complex variables, Translations of Mathematical Monographs, 14, AMS, Providence, R. I., 1965.

3. Jarnicki M., Pug P., Extension of Holomorphic Functions, de Gruyter Expositions in Mathematics 34, Walter de Gruyter, 2000.

4. Jarnicki M., Pug P., A counterexample to a theorem of Bremermann on Shilov boundaries, Proc. Amer. Math. Soc., 143 (2015), 1675-1677.

Information

Information: Universitatis Iagellonicae Acta Mathematica, 2016, Volume 53, pp. 21-25

Article type: Original article

Titles:

English:

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

Polish:

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

Authors

Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University

Carl von Ossietzky Universitat Oldenburg Institut fur Mathematik Postfach 2503 D-26111 Oldenburg

Published at: 10.11.2016

Article status: Open

Licence: None

Percentage share of authors:

Marek Jarnicki (Author) - 50%
Peter Pflug (Author) - 50%

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Publication languages:

English