Boundaries for algebras of holomorphic functions

被引：14

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, Dept Matemat, BR-84030900 Ponta Grossa, PR, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 281卷 / 02期

关键词：

Banach algebra; boundary; holomorphic functions; complex extreme point; peak point;

D O I：

10.1016/S0022-247X(03)00150-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A(u) (B-G) be the Banach algebra of all complex valued functions defined on the closed unit ball B-G of a complex Banach space G which are uniformly continuous on B-G and holomorphic in the interior of B-G, endowed with the sup norm. A characterization of the boundaries for An (B-G) is given in case G belongs to a class of Banach spaces that includes the pre-dual of a Lorentz sequence space studied by Gowers in Israel J. Math. 69 (1990) 129-151. The non-existence of the Shilov boundary for A(u)(B-G) is also proved. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：575 / 586

页数：12

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