Extension of the Erberlein-Smulian Theorem to Normed Spaces
Functional Analysis
2007-05-23 v1
Abstract
The Erberlein-Smulian Theorem asserts that for complete normed spaces, that is Banach spaces, a subset is weak compact if and only if it is weak sequentially compact. In this paper it is shown that the completeness of the normed space is not necessary for the above mentioned result.
Cite
@article{arxiv.math/0504592,
title = {Extension of the Erberlein-Smulian Theorem to Normed Spaces},
author = {Wha Suck Lee},
journal= {arXiv preprint arXiv:math/0504592},
year = {2007}
}
Comments
13 pages