RT Journal Article
T1 Weakly pseudocompact subsets of nuclear groups
A1 Martín Peinador, Elena
A1 Banaszczyk, W
AB 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.
PB Elsevier Science B.V. (North-Holland)
SN 0022-4049
YR 1999
FD 1999-05-17
LK https://hdl.handle.net/20.500.14352/57589
UL https://hdl.handle.net/20.500.14352/57589
LA eng
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NO KBN
NO D.G.I.C.Y.T.
DS Docta Complutense
RD 2 may 2024