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dc.creatorMartin-Peinador, E. (E.)-
dc.creatorChasco, M.J. (María Jesús)-
dc.date.accessioned2019-11-25T11:39:19Z-
dc.date.available2019-11-25T11:39:19Z-
dc.date.issued1998-
dc.identifier.citationMartin-Peinador, E.; Chasco-Ugarte, M. (María Jesús). "Pontryagin reflexive groups are not determined by their continuous characters". Rocky mountain journal of mathematics. 20 (1), 1998, 155 - 160es
dc.identifier.issn0035-7596-
dc.identifier.urihttps://hdl.handle.net/10171/58504-
dc.description.abstractA 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.-
dc.description.sponsorshipThe first author was supported by Xunta de Galicia, grant 32103B95. The second author was supported by Ministerio de Educación, grant PB93-0454-C0201-
dc.language.isoen-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.subjectContinuous theorem-
dc.subjectReflexive space-
dc.subjectCompact-open topology-
dc.subjectPontryagin duality-
dc.subjectGlicksberg theorem-
dc.subjectMontel space-
dc.titlePontryagin reflexive groups are not determined by their continuous characters-
dc.typeinfo:eu-repo/semantics/article-
dadun.citation.endingPage160-
dadun.citation.number1-
dadun.citation.publicationNameRocky mountain journal of mathematics-
dadun.citation.startingPage155-
dadun.citation.volume28-

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