Binz-Butzmann duality versus Pontryagin duality

DOI10.1007/BF01189829zbMath0806.43003OpenAlexW2007703103MaRDI QIDQ1337779

Elena Martín-Peinador, Maria-Jesus Chasco

Publication date: 13 November 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189829

zbMATH Keywords

convergence groupreflexive groupsabelian topological groupLCA groupsPontryagin dualitycontinuous characterscontinuous convergence structure

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Duality theory for topological vector spaces (46A20) Duality theorems for locally compact groups (22D35) Character groups and dual objects (43A40)

Related Items (7)

Open subgroups, compact subgroups and Binz-Butzmann reflexivity ⋮ A survey on reflexivity of abelian topological groups ⋮ Continuous duality of limits and colimits of topological Abelian groups ⋮ Completeness properties of locally quasi-convex groups ⋮ Duality theory for convergence groups ⋮ Strong Reflexivity of Abelian Groups ⋮ Duality of locally quasi-convex convergence groups

Cites Work

• Limesräume
• Continuous convergence on C(X)
• Pontrjagin-Dualität für topologische Vektorräume
• Some examples on linear topological spaces
• Über die \(c\)-Reflexivität von \({\mathcal C}_c(X)\)
• Extensions of the Pontrjagin duality. I: Infinite products
• The Pontrjagin Duality Theorem in Linear Spaces
• THE SPACEDIS NOT HEREDITARILY COMPLETE

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