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A Note on Ball Proximinality
School of Mathematical Sciences, Huaqiao University, Quanzhou, China
Chengyi University College, Jimei University, Xiamen, China
- 1 School of Mathematical Sciences, Huaqiao University, Quanzhou, China
- 2 Chengyi University College, Jimei University, Xiamen, China
Applied Mathematics·Volume 11 (2020)·Pages 1196–1203·Published 2 November 2020·DOI10.4236/am.2020.1111081
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Abstract
In this paper, we prove when these x ∈ l 2 with , they have the common δ for strongly ball proximinal. By using this property, we can prove the strong ball proximinality of l ∞ ( l 2 ). Also, we show that equable subspace Y of a Banach space X is actually uniform ball proximinality.
KeywordsBall ProximinalStrongly Ball ProximinalUniformly Ball ProximinalEquable Spaces
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