A characterization of reflexive spaces

被引：0
|
作者：
María D. Acosta
Vladimir Kadets
机构：
[1] Universidad de Granada,Departamento de Análisis Matemático
[2] Kharkov National University,Department of Mechanics and Mathematics
来源：
Mathematische Annalen | 2011年 / 349卷
关键词：
Primary 46B10; Secondary 46B03; 46B04;
D O I：
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中图分类号：
学科分类号：
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*-Gδ subset of the dual space.
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页码：577 / 588
页数：11
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