Asymptotically isometric copies of c0 and l1 in Bochner-spaces

被引：2
|
作者：
Dowling, PN [1 ]
Randrianantoanina, N [1 ]
机构：
[1] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 262卷 / 01期
基金：
美国国家科学基金会;
关键词：
Bochner-spaces;
D O I：
10.1006/jmaa.2001.7598
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let X be a Banach space and (Omega, Sigma, mu) be a finite measure space. It is shown that if 1 less than or equal to p < infinity (resp. 1 < p < infinity), the Bochner space L-p(mu, X) contains asymptotically isometric copies of c(u) (resp. l(1)) if and only if X does. (C) 2001 Academic Press.
引用
收藏
页码：419 / 434
页数：16
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