A note on asymptotically isometric copies of l1 and c0

被引：15
|
作者：
Pfitzner, H [1 ]
机构：
[1] Univ Orleans, F-45067 Orleans 2, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 05期
关键词：
asymptotically isometric copies of l(1); James' distortion; L-summands; L-embedded; M-ideals; fixed point property;
D O I：
10.1090/S0002-9939-00-05786-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Nonreflexive Banach spaces that are complemented in their bidual by an L-projection-like preduals of von Neumann algebras or the Hardy space H-1-contain, roughly speaking, many copies of l(1) which are very close to isometric copies. Such l(1)-copies are known to fail the fixed point property. Similar dual results hold for c(0).
引用
收藏
页码：1367 / 1373
页数：7
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