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

页码：24 / 33

页数：10

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