Complemented isometric copies of L1 in dual Banach spaces

被引：1

作者：

Hagler, J ^{[1
]}

机构：

[1] Univ Denver, Dept Math, Denver, CO 80208 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 11期

关键词：

Banach spaces; complemented isometric copies of L-1; (1; K)-asymptotic copies of (l(1) circle plus Sigma(n) l(infinity)(n))(1);

D O I：

10.1090/S0002-9939-02-06474-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a real or complex Banach space and K greater than or equal to 1. Then X* contains a K-complemented, isometric copy of L-1 [0,1] if and only if X* contains a K-complemented, isometric copy of C[0,1] if and only if X contains a subspace (1,K)-asymptotic to (l(1) + Sigma(n) l(infinity)(n))(1).

引用

页码：3313 / 3324

页数：12

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