w*-Basic Sequences and Reflexivity of Banach Spaces

被引：0
|
作者：
Kamil John
机构：
[1] Academy of Sciences of the Czech Republic,Mathematical Institute
来源：
Czechoslovak Mathematical Journal | 2005年 / 55卷
关键词：
reflexive Banach space; Schauder basis; quotient space; w*-basic sequence; tensor product;
D O I：
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中图分类号：
学科分类号：
摘要：
We observe that a separable Banach space X is reflexive iff each of its quotients with Schauder basis is reflexive. Similarly if ℒ(X, Y) is not reflexive for reflexive X and Y then ℒ(X1, Y) is is not reflexive for some X1 ⊂ X, X1 having a basis.
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页码：677 / 681
页数：4
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