A characterization of reflexive spaces

被引：5
|
作者：
Acosta, Maria D. [1 ]
Kadets, Vladimir [2 ]
机构：
[1] Univ Granada, Dept Anal Matemat, E-18071 Granada, Spain
[2] Kharkov Natl Univ, Dept Mech & Math, UA-61077 Kharkov, Ukraine
来源：
MATHEMATISCHE ANNALEN | 2011年 / 349卷 / 03期
关键词：
SET;
D O I：
10.1007/s00208-010-0528-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a Banach space is reflexive if for every equivalent norm, the set of norm attaining functionals has non-empty norm-interior in the dual space. It is also proved that the set of norm attaining functionals on a Banach space that is not a Grothendieck space is not a w*-G (delta) subset of the dual space.
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页码：577 / 588
页数：12
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