Ball proximinal and strongly ball proximinal hyperplanes

Indumathi V.; Prakash N.

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Ball proximinal and strongly ball proximinal hyperplanes

机译：球近端和强球近超平面

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摘要

A closed subspace Y of a normed linear space X is said to be ball proximinal if the closed unit ball of Y is proximinal in X. In this paper, we characterize ball proximinal and strongly ball proximinal hyperplanes.

机译：如果Y的闭合单位球在X中是近端的，则范数线性空间X的闭合子空间Y称为球近端。在本文中，我们表征了球近端和强球近超平面。

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来源
《Journal of Approximation Theory》 |2013年第null期|共10页
作者
Indumathi V.; Prakash N.;
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正文语种 eng
中图分类数学模拟、近似计算;
关键词
Ball-proximinal; Hyperplanes; Norm attaining functional; Proximinal; Strongly proximinal; Strongly sub-differentiable norm;

机译：球近;超平面;范数达到功能;近;严格近;严格可微范数;

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1. Ball proximinal and strongly ball proximinal hyperplanes [J] . Indumathi V., Prakash N. Journal of Approximation Theory . 2013,第Null期

机译：球近端和强球近超平面
2. On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample [J] . Saidi FB Proceedings of the American Mathematical Society . 2005,第9期

机译：Banach空间中邻近子空间单位球的邻近性：一个反例
3. A Note on Ball Proximinality [J] . Bo Wang, Xiaoyan Liu Advances in Biological Chemistry . 2020,第11期

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4. Ball proximinality in Banach spaces [C] . Pradipta Bandyopadhyay, Bor-Luh Lin, T. S. S. R. K. Rao Banach Spaces and Their Applications in Analysis . 2007

机译：Banach空间的球职业性
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7. On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample [O] . Fathi B. Saidi 2005

机译：在Banach空间中近端子空间单位球的职位性：一个反例

Ball proximinal and strongly ball proximinal hyperplanes

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