A Characterization of Reflexivity for Dual Banach Spaces
Functional Analysis
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0509683,
title = {A Characterization of Reflexivity for Dual Banach Spaces},
author = {Javier H. Guachalla},
journal= {arXiv preprint arXiv:math/0509683},
year = {2007}
}
Comments
3 pages. Minor gramatical change