Boundaries for an algebra of bounded holomorphic functions

被引：0
|
作者：
Moraes, LA
Grados, LR
机构：
[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, Brazil
[2] Univ Estadual Ponta Grossa, BR-84030900 Ponta Grossa, PR, Brazil
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2004年 / 41卷 / 01期
关键词：
Banach algebra; boundary; holomorphic functions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A(b) (B-E) be the Banach algebra of all complex valued bounded continuous functions on the closed unit ball B-E of a complex Banach space E, and holomorphic in the interior of B-E, endowed with the sup norm. We present some sufficient conditions for a set to be a boundary for A(b) (B-E) in case E belongs to a class of Banach spaces that includes the pre-dual of a Lorentz sequence space studied by Gowers in [6]. We also prove the non-existence of the Shilov boundary for A(b) (B-E) and give some examples of boundaries.
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页码：231 / 242
页数：12
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