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Non-archimedean Eberlein-mulian theory

It is shown that, for a large class of non-archimedean normed spaces E, a subset X is weakly compact as soon as f(X) is compact for all f∈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...

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Bibliográfalaš dieđut
Váldodahkkit: T. Kiyosawa, W. H. Schikhof
Materiálatiipa: Artigo
Giella:Inglês
Almmustuhtton: Wiley 1996-01-01
Ráidu:International Journal of Mathematics and Mathematical Sciences
Fáttát:
Liŋkkat:http://dx.doi.org/10.1155/S0161171296000907
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