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.
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页码：1065 / 1074
页数：10
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