TITLE:
A Note on Ball Proximinality
AUTHORS:
Bo Wang, Xiaoyan Liu
KEYWORDS:
Ball Proximinal, Strongly Ball Proximinal, Uniformly Ball Proximinal, Equable Spaces
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.11,
November
25,
2020
ABSTRACT: In this paper, we prove when these x ∈ l2 with , they have the common δ for strongly ball proximinal. By using this property, we can prove the strong ball proximinality of l∞(l2). Also, we show that equable subspace Y of a Banach space X is actually uniform ball proximinality.