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Characterisation of orthogonality in certain Banach spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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