Characterisation of orthogonality in certain Banach spaces

Fathi B. Saidi · Bulletin of the Australian Mathematical Society · 2002

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.

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