COMPLETIONS AND BALLS IN BANACH SPACES

被引：8
|
作者：
Papini, Pier Luigi
机构：
[1] Via Martucci, 19, Bologna
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2015年 / 6卷 / 01期
关键词：
Diametrically maximal; ball; constant radius; SETS;
D O I：
10.15352/afa/06-1-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study properties of complete sets and of completions of sets in Banach spaces, with relation to balls: in particular, we study conditions implying that a set is a ball, or it has a completion which is a ball. We also discuss some related simple properties considered in a few recent papers, a new similar property, and relations among classes of sets defined by them. Results are illustrated by several examples.
引用
收藏
页码：24 / 33
页数：10
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