"Coproximinality in spaces of Bochner integrable functions" by T. S.S.R.K. Rao
 

Coproximinality in spaces of Bochner integrable functions

Article Type

Research Article

Publication Title

Journal of Convex Analysis

Abstract

In this short note we use a new way of applying von Neumann's selection theorem for obtaining best coapproximation in spaces of measurable functions. For a coproximinal closed subspace Y of a Banach space X, we show that if Y is constrained in a weakly compactly generated dual space, then the space L1 (μ, Y ) of Y-valued Bochner integrable functions is coproximinal in L1 (μ, X). This extends a result of Haddadi et. al., proved when Y is reflexive.

Publication Date

1-1-2017

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