Article citationsMore>>

Saidi, F.B. (2005) On the Proximinality of the Unit Ball of Proximinal Subspaces in Banach Spaces; a Counterexample. Proceedings of the American Mathematical Society, 133, 2697-2703.
https://doi.org/10.1090/S0002-9939-05-08152-9

has been cited by the following article:

• 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.