A characterization of barrelledness of \(C_{p}(X)\)

DOI10.1016/j.jmaa.2016.02.060zbMath1344.46001arXiv1512.00788OpenAlexW2962888854MaRDI QIDQ266484

Saak S. Gabriyelyan

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1512.00788

zbMATH Keywords

spaces of continuous functionsbarrelled spacesMackey group

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Barrelled spaces, bornological spaces (46A08)

Related Items (8)

Topological properties of the group of the null sequences valued in an abelian topological group ⋮ On the Mackey topology for abelian topological groups and locally convex spaces ⋮ A locally quasi-convex abelian group without a Mackey group topology ⋮ Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem ⋮ The Mackey problem for free locally convex spaces ⋮ On the non-existence of the Mackey topology for locally quasi-convex groups ⋮ The Mackey problem for free abelian topological groups ⋮ Mackey groups and Mackey topologies

Cites Work

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• Topological properties of the group of the null sequences valued in an abelian topological group
• On the Mackey topology for abelian topological groups and locally convex spaces
• Groups of quasi-invariance and the Pontryagin duality
• Sur quelques propriétés de l'espace C\(_s\)(T)
• Additive subgroups of topological vector spaces
• A group-theoretic method in approximation theory
• The Pontrjagin duality theorem in linear spaces
• Abelian Groups which Satisfy Pontryagin Duality need not Respect Compactness
• Characteristics of the Mackey Topology for Abelian Topological Groups

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