A Characterization of Reflexivity for Dual Banach Spaces

Details A Characterization of Reflexivity for Dual Banach Spaces A Characterization of Reflexivity for Dual Banach Spaces

2005-09-29

arxiv.org/abs/math/0509683v1

Mathematics

Functional Analysis

3 pages. Minor gramatical change

Scientific paper

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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