Extension of the Erberlein-Smulian Theorem to Normed Spaces
Abstract
Description
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.
13 pages
13 pages