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

页码：1367 / 1373

页数：7

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