Extended locally convex spaces: barreledness, equicontinuity and Banach-Steinhaus theorem

DOI10.1016/j.topol.2024.108890OpenAlexW4393098066MaRDI QIDQ6128891

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Publication date: 16 April 2024

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

Full work available at URL: https://doi.org/10.1016/j.topol.2024.108890

zbMATH Keywords

finest locally convex topologyBanach-Steinhaus theoremextended normed spacebarreled spacesequicontinuous familyextended locally convex space

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Algebraic properties of function spaces in general topology (54C40) Barrelled spaces, bornological spaces (46A08) Duality theory for topological vector spaces (46A20) Bornologies and related structures; Mackey convergence, etc. (46A17)