BEST COAPPROXIMATION IN L1 ;X

Year 2018, Volume: 8 Issue: 2, 448 - 453, 01.12.2018

J. Jawdat

Abstract

Let X be a real Banach space and let G be a closed subset of X. The set G is called coproximinal in X if for each x ∈ X, there exists y0 ∈ G such that ky − y0k ≤ kx − yk , for all y ∈ G. In this paper, we study coproximinality of L ∞ µ, G in L ∞ µ, X , when G is either separable or reflexive coproximinal subspace of X.

Keywords

Best Coapproximation, coproximinal set, essentially bounded functions

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