BEST COAPPROXIMATION IN L1 ;X

Yıl 2018, Cilt: 8 Sayı: 2, 448 - 453, 01.12.2018

J. Jawdat

Öz

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.

Anahtar Kelimeler

Best Coapproximation, coproximinal set, essentially bounded functions

Kaynakça

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