A Note on Ball Proximinality

Abstract

In this paper, we prove when these 2 x l ∈ with () 2 1 , 12 l d x B > , they have the common δ for strongly ball proximinal. By using this property, we can prove the strong ball proximinality of () 2 l l ∞. Also, we show that equable subspace Y of a Banach space X is actually uniform ball proximinality.