The fixed point property in JB*-triples and preduals of JBW*-triples

被引：3
|
作者：
Becerra Guerrero, Julio [2 ]
Rambla-Barreno, Fernando [1 ]
机构：
[1] Univ Cadiz, Fac Ciencias, Dept Matemat, Cadiz 11510, Spain
[2] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 360卷 / 01期
关键词：
JB*-triple; Fixed point; Normal structure; BANACH-SPACES; IDEAL STRUCTURE; REAL; THEOREM; SUBDIFFERENTIABILITY; CONTINUITY; SUFFICIENT; OPERATORS; PRODUCTS; MAPPINGS;
D O I：
10.1016/j.jmaa.2009.06.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for every member X in the class of real or complex JB*-triples or preduals of JBW*-triples, the following assertions are equivalent: (1) X has the fixed point property. (2) X has the super fixed point property. (3) X has normal structure. (4) X has uniform normal structure. (5) The Banach space of X is reflexive. As a consequence, a real or complex C*-algebra or the predual of a real or complex W*-algebra having the fixed point property must be finite-dimensional. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：254 / 264
页数：11
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