Extended seminorms and extended topological vector spaces

DOI10.1016/J.TOPOL.2016.08.001zbMath1359.46003OpenAlexW2503753170MaRDI QIDQ306167

Sebastián Tapia-García, David Salas

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2016.08.001

zbMATH Keywords

projective limitstopological vector spacestopological groupsbornologiesextended normsextended seminormsseminorms

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Bornologies and related structures; Mackey convergence, etc. (46A17)

Related Items (3)

On eventual regularity properties of operator-valued functions ⋮ Dual of an extended locally convex space ⋮ The finest locally convex topology of an extended locally convex space

Cites Work

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• Structural properties of extended normed spaces
• The Lipschitz metric for real-valued continuous functions
• The structure of extended real-valued metric spaces
• Extended and sandwich versions of the Hahn-Banach theorem
• SEPARATION OF CONVEX SETS IN EXTENDED NORMED SPACES
• Espaces vectoriels topologiques
• Splitting in topological groups
• ON TOPOLOGICAL VECTOR GROUPS

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