A Mackey-Arens theorem for topological Abelian groups

zbMath1045.22001MaRDI QIDQ1432027

Fernando Garibay Bonales, Rigoberto Vera Mendoza, F. Javier Trigos-Arrieta

Publication date: 11 June 2004

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

Abelian topological groupdual groupMackey topologypolarlocally quasi-convex groupcompatible topologies

Mathematics Subject Classification ID

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

Related Items (12)

Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks ⋮ Locally quasi-convex compatible topologies on a topological group ⋮ The Mackey topology problem: a complete solution for bounded groups ⋮ Locally quasi-convex compatible topologies on locally compact abelian groups ⋮ Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem ⋮ Linear topologies on \(\mathbb Z\) are not Mackey topologies ⋮ UMAP classes of groups ⋮ ``Varopoulos paradigm: Mackey property versus metrizability in topological groups ⋮ Characterizing sequences for precompact group topologies ⋮ On the non-existence of the Mackey topology for locally quasi-convex groups ⋮ Characteristics of the Mackey Topology for Abelian Topological Groups ⋮ Mackey groups and Mackey topologies

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