Pontryagin reflexive groups are not determined by their continuous characters

DOI10.1216/rmjm/1181071826zbMath0922.43004OpenAlexW1984405036MaRDI QIDQ1288314

Maria-Jesus Chasco, Elena Martín-Peinador

Publication date: 14 October 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol28-1/CONT281/CONT281.html

zbMATH Keywords

reflexive groupsabelian topological groupcontinuous characters

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Duality theory for topological vector spaces (46A20) General properties and structure of LCA groups (22B05) Character groups and dual objects (43A40)

Related Items (1)

A survey on reflexivity of abelian topological groups

Cites Work

• Additive subgroups of topological vector spaces
• Compactness in Abelian topological groups
• The Pontrjagin duality theorem in linear spaces
• Uniform Boundedness for Groups
• Abelian Groups which Satisfy Pontryagin Duality need not Respect Compactness
• A Reflexive Admissible Topological Group must be Locally Compact
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