Game-theoretic characterization of the Gurarii space

被引：8
|
作者：
Kubis, Wieslaw [1 ,2 ]
机构：
[1] Czech Acad Sci, Inst Math, Prague, Czech Republic
[2] Cardinal Stefan Wyszynski Univ, Coll Sci, Fac Nat Sci, Warsaw, Poland
来源：
ARCHIV DER MATHEMATIK | 2018年 / 110卷 / 01期
关键词：
Normed space; Banach-Mazur game; Gurarii space; Eve; UNIVERSAL DISPOSITION; BANACH-SPACES;
D O I：
10.1007/s00013-017-1088-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a simple and natural infinite game building an increasing chain of finite-dimensional Banach spaces. We show that one of the players has a strategy with the property that, no matter how the other player plays, the completion of the union of the chain is linearly isometric to the GurariA space.
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页码：53 / 59
页数：7
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