The Biduality Problem and M-Ideals in Weighted Spaces of Holomorphic Functions

被引：0

作者：

Boyd, Christopher ^{[1
]}

Rueda, Pilar ^{[2
]}

机构：

[1] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland

[2] Univ Valencia, Fac Matemat, Dept Anal Matemat, E-46100 Valencia, Spain

来源：

JOURNAL OF CONVEX ANALYSIS | 2011年 / 18卷 / 04期

关键词：

REAL BANACH SPACES; ISOMETRIES; DOMAINS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a weight v on an open subset U of C-n,H-v(U) (resp. H-vo(U)) denotes the Banach space of holomorphic functions f on U such that vf is bounded on U (resp. converges to 0 on the boundary of U). We show that H-v(U) is canonically isometrically isomorphic to the bidual of H-vo(U) if and only if H-vo(U) is an M-ideal in H-v(U) and the associated weights (v) over tilde (o) and (v) over tilde coincide.

引用

页码：1065 / 1074

页数：10

共 12 条

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