RT Journal Article
T1 Krein’s Theorem in the Context of Topological Abelian Groups
A1 Borsich, Tayomara
A1 Domínguez Pérez, Xabier E
A1 Martín Peinador, Elena
AB A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is again compact. In this paper we prove that there exist locally quasi-convex metrizable complete groups G which endowed with the weak topology associated to their character groups G∧, do not have the qcp. Thus, Krein’s Theorem, a well known result in the framework of locally convex spaces, cannot be fully extended to locally quasi-convex groups. Some features of the qcp are also studied.
PB MPDI
SN 2075-1680
YR 2022
FD 2022-05-12
LK https://hdl.handle.net/20.500.14352/72089
UL https://hdl.handle.net/20.500.14352/72089
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)/FEDER
DS Docta Complutense
RD 11 may 2025