%0 Journal Article
%A Martín Peinador, Elena
%A Banaszczyk, W
%T Weakly pseudocompact subsets of nuclear groups
%D 1999
%@ 0022-4049
%U https://hdl.handle.net/20.500.14352/57589
%X Let G be an Abelian topological group and G(+) the group G endowed with the weak topology induced by continuous characters. We say that G respects compactness (pseudocompactness, countable compactness, functional boundedness) if G and G+ have the same compact (pseudocompact, countably compact, functionally bounded) sets. The well-known theorem of Glicksberg that LCA groups respect compactness was extended by Trigos-Arrieta to pseudocompactness and functional boundedness. In this paper we generalize these results to arbitrary nuclear groups, a class of Abelian topological groups which contains LCA groups and nuclear locally convex spaces and is closed with respect to subgroups, separated quotients and arbitrary products.
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