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An Extension of the Notion of Orthogonality to Banach Spaces

✍ Scribed by Fathi B. Saidi

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
152 KB
Volume
267
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 p 2 C .  2002 Elsevier Science (USA)

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