Some Properties of the Injective Tensor Product of Banach Spaces

被引：0

作者：

Xiao Ping XUE Department of Mathematics

机构：

来源：

Acta Mathematica Sinica,English Series | 2007年 / 23卷 / 09期

基金：

中国国家自然科学基金;

关键词：

tensor products; types of Radon-Nikodym properties; Schauder decomposition;

D O I：

暂无

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

Let X and Y be Banach spaces such that X has an unconditional basis.Then XY,the injective tensor product of X and Y,has the Radon-Nikodym property(respectively,the analyticRadon-Nikodym property,the near Radon-Nikodym property,non-containment of a copy of c,weaklysequential completeness)if and only if both X and Y have the same property and each continuous linearoperator from the predual of X to Y is compact.

引用

页码：1697 / 1706

页数：10

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