Dual of an extended locally convex space

DOI10.1016/j.jmaa.2023.127474zbMath1530.46004arXiv2301.03243OpenAlexW4379389967MaRDI QIDQ6112512

Unnamed Author, Varun Jindal

Publication date: 7 August 2023

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

Full work available at URL: https://arxiv.org/abs/2301.03243

zbMATH Keywords

weak topologyfinest locally convex topologyweak* topologyextended normed spacetopology of uniform convergence on bounded setsextended locally convex space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) General theory of locally convex spaces (46A03) Duality theory for topological vector spaces (46A20) Convex sets in topological linear spaces; Choquet theory (46A55) Bornologies and related structures; Mackey convergence, etc. (46A17)

Cites Work

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