An extension of the notion of orthogonality to Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:267

Article

Saidi, FB

关键词: Banach spaces;    orthogonality;    geometry;    extension;    functionals;    norms;   

DOI  :  10.1006/jmaa.2001.7734

来源: Elsevier

【 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).

【 授权许可】

Free