A NOTE ON BIORTHOGONAL SYSTEMS IN WEAKLY COMPACTLY GENERATED BANACH SPACES

被引：0

作者：

Fabian, Marian ^{[1
]}

Gonzalez, Alma ^{[2
]}

Montesinos, Vicente ^{[2
]}

机构：

[1] Acad Sci Czech Republic, Math Inst, CR-11567 Prague, Czech Republic

[2] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, Valencia 46022, Spain

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2009年 / 34卷 / 02期

关键词：

Weakly compactly generated Banach spaces; biorthogonal systems; reflexivity; unconditional bases;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using separable projectional resolutions of the identity, we provide a different proof of a result of Argyros and Mercourakis on the behavior of fundamental biorthogonal systems in weakly compactly generated (in short, WCG) Banach spaces. This result, is used to discuss the example given lily Argyros of a non-WCG subspace of a WCG space of the form C(K).

引用

页码：555 / 564

页数：10

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