A Note on Ball Proximinality

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2020-11-02 DOI:10.4236/am.2020.1111081

Bo Wang, Xiaoyan Liu

引用次数: 0

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.

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关于球的近端性的注释

在本文中，我们证明了当这些x∈l2与时，它们对于强球近端有共同的δ。利用这一性质，我们可以证明l∞(l2)的强球邻近性。同时证明了巴拿赫空间X的等子空间Y实际上是均匀球邻近性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.