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

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页码：702 / 717

页数：16

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