RT Journal Article
T1 Pontryagin reflexive groups are not determined by their continuous characters
A1 Martín Peinador, Elena
A1 Chasco, M.J.
AB A theorem of Glicksberg states that, for an abelian group G, two locally compact topologies with the same set of continuous characters must coincide. In [12] it is asserted that this fact also holds for two Pontryagin reflexive topologies. We prove here that this statement is not correct, and we give some additional conditions under which it is true. We provide some examples of classes of groups determined by their continuous characters.
PB Rocky Mountain Mathematics Consortium
SN 0035-7596
YR 1998
FD 1998-09
LK https://hdl.handle.net/20.500.14352/57592
UL https://hdl.handle.net/20.500.14352/57592
LA eng
NO Ministerio de Educación
NO Xunta de Galicia
DS Docta Complutense
RD 9 abr 2025