An extension of the notion of orthogonality to Banach spaces

被引：14

作者：

Saidi, FB ^{[1
]}

机构：

[1] Univ Sharjah, Dept Math, Sharjah, U Arab Emirates

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 267卷 / 01期

关键词：

Banach spaces; orthogonality; geometry; extension; functionals; norms;

D O I：

10.1006/jmaa.2001.7734

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the usual notion of orthogonality to Banach spaces. We show that the extension is quite rich in structure by establishing some of its main properties and consequences. Geometric characterizations and comparison results with other extensions are established. Also, we establish a characterization of compact operators on Banach spaces that admit orthonormal Schauder bases. Finally, we characterize orthogonality in the spaces l(2)(P)(C). (C) 2002 Elsevier Science (USA).

引用

页码：29 / 47

页数：19

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