Some properties of locally quasi-convex groups

DOI10.1016/S0166-8641(96)00133-2zbMath0874.22002MaRDI QIDQ1356951

M. Montserrat Bruguera

Publication date: 16 June 1997

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

topological groupcharactercompact groupthree space propertycontinuous characters

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 (10)

On \(g\)-barrelled groups and their permanence properties ⋮ A note on weakly compact subgroups of locally quasi-convex groups ⋮ A locally quasi-convex abelian group without a Mackey group topology ⋮ On local quasi-convexity as a three-space property in topological abelian groups ⋮ Groups of quasi-invariance and the Pontryagin duality ⋮ Normed and Banach groups ⋮ Report on the open problems session ⋮ The Pontryagin duality of sequential limits of topological Abelian groups ⋮ Characteristics of the Mackey Topology for Abelian Topological Groups ⋮ Mackey groups and Mackey topologies

Cites Work

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• Three space problem for the weak Banach-Saks property
• On the three-space-problem for topological vector spaces
• On the existence of exotic Banach-Lie groups
• Some minimal group topologies are precompact
• Examples of locally compact non-compact minimal topological groups
• The Dunford--Pettis property is not a three-space property
• Compactness type properties in topological groups
• The Minlos lemma for positive-definite functions on additive subgroups of $ℝ^n$

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