Examples concerning heredity problems of WCG Banach spaces

被引：11

作者：

Argyros, SA ^{[1
]}

Mercourakis, S

机构：

[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

[2] Univ Athens, Dept Math, Athens 15784, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 03期

关键词：

WCG Banach space; unconditional basis; tree;

D O I：

10.1090/S0002-9939-04-07532-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present two examples of WCG spaces that are not hereditarily WCG. The first is a space with an unconditional basis, and the second is a space X such that X** is WCG and X** does not contain l(1). The non-WCG subspace Y of X has the additional property that Y** is not WCG and X/Y is reflexive.

引用

页码：773 / 785

页数：13

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