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A Characterization of Reflexivity for Dual Banach Spaces

Javier H. Guachalla
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Abstract

Given a Banach space. We show that its three times dual space can be written as a direct sum. Then being one of the sumands null is a necessary and sufficient condition for the dual space to be reflexive. We end with an application of this result to the known relationship between the reflexivity of a Banach space and that of its dual space.

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Javier H. Guachalla. 2005-09-29. A Characterization of Reflexivity for Dual Banach Spaces. https://arxiv.org/abs/math/0509683

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