Equilateral sets in Banach spaces of the form C(K)

被引：11

作者：

Mercourakis, Sophocles K. ^{[1
]}

Vassiliadis, Georgios ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

STUDIA MATHEMATICA | 2015年 / 231卷 / 03期

关键词：

equilateral set; maximal equilateral set; linked family;

D O I：

10.4064/sm8259-1-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for "most" compact nonmetrizable spaces, the unit ball of the Banach space C(K) contains an uncountable 2-equilateral set. We also give examples of compact nonmetrizable spaces K such that the minimum cardinality of a maximal equilateral set in C(K) is countable.

引用

页码：241 / 255

页数：15

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