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.
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页码：1675 / 1677
页数：3
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