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Characterisation of orthogonality in certain Banach spaces

Published online by Cambridge University Press:  17 April 2009

Fathi B. Saidi
Fathi B. Saidi
Affiliation:
Department of Mathematics, University of Sharjah, P.O. Box 27272, Sharjah, United Arab Emirates e-mail: [email protected]
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Abstract

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In this paper we adopt the notion of orthogonality introduced by the author in a previous article. We establish a characterisation for orthogonality in the spaces , where S is a set of positive integers and C is the field of complex numbers. Generalisations of the usual characterisation of orthogonality in the Hilbert spaces , via inner products, are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 93 - 104
Copyright
Copyright © Australian Mathematical Society 2002

References

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