Hilbert generated Banach spaces need not have a norming Markushevich basis

被引：5
|
作者：
Hajek, Petr [1 ]
机构：
[1] Czech Tech Univ, Dept Math, Fac Elect Engn, Tech 2, Prague 16627 6, Czech Republic
来源：
ADVANCES IN MATHEMATICS | 2019年 / 351卷
关键词：
Markushevich basis; Weakly compactly generetad Banach space; MARKUSEVIC BASES;
D O I：
10.1016/j.aim.2019.05.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a zero dimensional uniform Eberlein compact space K such that C(K) is a Hilbert generated Banach space which does not admit any norming Markushevich basis. This solves a classical problem from the seventies. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：702 / 717
页数：16
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