Kadec and Krein-Milman properties

被引：8
作者：
Moltó, A
Orihuela, J
Troyanski, S
Valdivia, M
机构：
[1] Univ Valencia, Fac Matemat, Dept Anal Matemat, E-46100 Burjassot, Spain
[2] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain
[3] Univ Sofia, Dept Math & Informat, Sofia 1164, Bulgaria
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 331卷 / 06期
关键词：
D O I：
10.1016/S0764-4442(00)01644-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main goal of this paper is to prove that any Banach space X with the Krein-Milman property such that the weak and the norm topology coincide on its unit sphere admits an equivalent norm that is locally uniformly rotund. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
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收藏
页码：459 / 464
页数：6
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