On norm derivatives and the ball-covering property of Banach spaces

被引：0
|
作者：
Sain, Debmalya [1 ]
机构：
[1] Indian Inst Informat Technol, Dept Math, Raichur 584135, Karnataka, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 541卷 / 01期
关键词：
Norm derivatives; Banach spaces; Ball-covering property; Smoothness; Birkhoff-James orthogonality; ORTHOGONALITY;
D O I：
10.1016/j.jmaa.2024.128738
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a local version of the ball-covering problem in Banach spaces, and obtain a complete solution to it in terms of the norm derivatives. We illustrate the advantage of the local approach by obtaining substantial refinements of several previously known results on this topic. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：9
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