Extension of the Erberlein-Smulian Theorem to Normed Spaces

Details Extension of the Erberlein-Smulian Theorem to Normed Spaces Extension of the Erberlein-Smulian Theorem to Normed Spaces

2005-04-29

arxiv.org/abs/math/0504592v1

Mathematics

Functional Analysis

13 pages

Scientific paper

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.

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