Author(s)

Bo Wang^1*, Xiaoyan Liu²

¹School of Mathematical Sciences, Huaqiao University, Quanzhou, China.
²Chengyi University College, Jimei University, Xiamen, China.

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.

Ball Proximinal, Strongly Ball Proximinal, Uniformly Ball Proximinal, Equable Spaces

Wang, B. and Liu, X.Y. (2020) A Note on Ball Proximinality. Applied Mathematics, 11, 1196-1203. doi: 10.4236/am.2020.1111081.