Full metadata record
DC Field | Value | Language |
---|---|---|
dc.creator | Martin-Peinador, E. (E.) | - |
dc.creator | Chasco, M.J. (María Jesús) | - |
dc.date.accessioned | 2019-11-25T11:39:19Z | - |
dc.date.available | 2019-11-25T11:39:19Z | - |
dc.date.issued | 1998 | - |
dc.identifier.citation | Martin-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 - 160 | es |
dc.identifier.issn | 0035-7596 | - |
dc.identifier.uri | https://hdl.handle.net/10171/58504 | - |
dc.description.abstract | 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. | - |
dc.description.sponsorship | The 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.iso | en | - |
dc.rights | info:eu-repo/semantics/openAccess | - |
dc.subject | Continuous theorem | - |
dc.subject | Reflexive space | - |
dc.subject | Compact-open topology | - |
dc.subject | Pontryagin duality | - |
dc.subject | Glicksberg theorem | - |
dc.subject | Montel space | - |
dc.title | Pontryagin reflexive groups are not determined by their continuous characters | - |
dc.type | info:eu-repo/semantics/article | - |
dadun.citation.endingPage | 160 | - |
dadun.citation.number | 1 | - |
dadun.citation.publicationName | Rocky mountain journal of mathematics | - |
dadun.citation.startingPage | 155 | - |
dadun.citation.volume | 28 | - |
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