The finest locally convex topology of an extended locally convex space

DOI10.1016/j.topol.2022.108396OpenAlexW4313478265MaRDI QIDQ2683750

Akshay Kumar, Varun Jindal

Publication date: 15 February 2023

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

Full work available at URL: https://arxiv.org/abs/2208.00389

zbMATH Keywords

finest locally convex topologylocally convex spacesbornologiesextended normsextended seminormsextended locally convex spaces

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Duality theory for topological vector spaces (46A20) Bornologies and related structures; Mackey convergence, etc. (46A17)

Related Items (1)

Dual of an extended locally convex space

Cites Work

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• Extended seminorms and extended topological vector spaces
• Uniform continuity, uniform convergence, and shields
• Structural properties of extended normed spaces
• Bornological convergence and shields
• The Lipschitz metric for real-valued continuous functions
• The structure of extended real-valued metric spaces
• Strong uniform continuity
• Locally Convex Spaces
• SEPARATION OF CONVEX SETS IN EXTENDED NORMED SPACES
• Functional analysis and infinite-dimensional geometry

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