A COUNTEREXAMPLE TO A THEOREM OF BREMERMANN ON SHILOV BOUNDARIES

被引：0

作者：

Jarnicki, Marek ^{[1
]}

Pflug, Peter ^{[2
]}

机构：

[1] Jagiellonian Univ, Fac Math & Comp Sci, Inst Math, PL-30348 Krakow, Poland

[2] Carl von Ossietzky Univ Oldenburg, Inst Math, D-26111 Oldenburg, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 04期

关键词：

Shilov boundary; Bergman boundary;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a counterexample to the following theorem of Bremermann on Shilov boundaries: if D is a bounded domain in C-n having a univalent envelope of holomorphy, say (D) over tilde, then the Shilov boundary of D with respect to the algebra A(D), call it partial derivative D-S, coincides with the corresponding one for (D) over tilde, called partial derivative(S)(D) over tilde.

引用

页码：1675 / 1677

页数：3

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