Publication Date:
1996-01-01
Description:
It is shown that, for a large class of non-archimedean normed spacesE, a subsetXis weakly compact as soon asf(X)is compact for allf∈E′(Theorem 2.1), a fact that has no analogue in Functional Analysis over the real or complex numbers. As a Corollary we derive a non-archimedean version of the Eberlein-mulian Theorem (2.2 and 2.3, for the classical theorem, see [1], VIII, §2 Theorem and Corollary, page 219).
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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