A note on symmetric separation in Banach spaces

被引：2
|
作者：
Russo, Tommaso [1 ]
机构：
[1] Czech Tech Univ, Dept Math, Fac Elect Engn, Tech 2, Prague 16627 6, Czech Republic
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 04期
关键词：
Symmetrically separated vectors; (symmetric) Kottman's constant; Non-strict Opial property; Tsirelson's space; EQUILATERAL SETS; SEQUENCES;
D O I：
10.1007/s13398-019-00722-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present some new results on the symmetric Kottman constant Ks (X) of a Banach space X and its relationship with the Kottman constant. We show that Ks (X) > 1, for every infinite-dimensional Banach space, thereby solving a problem by Castillo and Papini. We also investigate such constant in the class of Banach spaces admitting c0 spreading models, answering in particular one question from our previous joint paper with Hajek and Kania.
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页码：3649 / 3658
页数：10
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