Group duality with the topology of precompact convergence

DOI10.1016/j.jmaa.2004.08.033zbMath1062.22001OpenAlexW2089929475MaRDI QIDQ1766704

F. Javier Trigos-Arrieta, Salvador Hernández

Publication date: 8 March 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.08.033

zbMATH Keywords

dualequicontinuitypolarreflexive groupPontryagin dualityquasi-completebarrellocally quasi-convex space (group)von Neumann-complete

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Duality theory for topological vector spaces (46A20)

Related Items (6)

Duality of topological modules over normed rings ⋮ When a totally bounded group topology is the Bohr topology of a LCA group ⋮ A survey on reflexivity of abelian topological groups ⋮ Kernels and cokernels in the category of augmented involutive stereotype algebras ⋮ Uncountable products of determined groups need not be determined ⋮ The character of topological groups, via bounded systems, Pontryagin-van Kampen duality and pcf theory

Cites Work

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• Additive subgroups of topological vector spaces
• A characterization of Pontryagin duality
• A characterization of Pontryagin-van Kampen duality for locally convex spaces
• Several reflexivities in topological vector spaces
• Pontryagin duality in the theory of topological vector spaces
• Pontryagin duality for spaces of continuous functions
• Duals of Frechet spaces and a generalization of the Banach-Dieudonne theorem
• Dual groups of vector spaces
• Extensions of the Pontrjagin duality. I: Infinite products
• The Pontrjagin duality theorem in linear spaces
• Stereotype locally convex spaces
• Two classes of spaces reflexive in the sense of Pontryagin
• k-Groups and Duality
• Invariance of compactness for the Bohr topology
• Pontryagin duality for topological Abelian groups

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