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A characterization of reflexive spaces |
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| Authors: | |
| Institution: | 1.Departamento de Análisis Matemático,Universidad de Granada,Granada,Spain;2.Department of Mechanics and Mathematics,Kharkov National University,Kharkov,Ukraine |
| Abstract: | 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 δ subset of the dual space. |
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