Coproximinality in spaces of Bochner integrable functions
Journal of Convex Analysis
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.
Rao, T. S.S.R.K., "Coproximinality in spaces of Bochner integrable functions" (2017). Journal Articles. 2783.