A Note on Compact Operators Via Orthogonality

Volume 2, Issue 4, pp 698--701 http://dx.doi.org/10.22436/jmcs.02.04.15

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Authors

Hossein Asnaashari Eivary - Faculty of Basic Science, Zabol University, Zabol, Iran

Abstract

In this paper, we extend the usual notion of orthogonality to Banach spaces. Also, we establish a characterization of compact operators on Banach spaces that admit orthonormal Schauder bases.

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Keywords

• Orthogonality
• compact operator.

MSC

•  46B20
•  47L05
•  46A32
•  46B28

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