The Hahn-Banach Problem in Convergence Vector Spaces

DOI10.1002/MANA.19790930127zbMath0443.46004OpenAlexW1966674098MaRDI QIDQ3886282

Ronald Beattie

Publication date: 1979

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19790930127

zbMATH Keywords

convergence vector spaceextending continuous linear functionalsHahn- Banach extension propertiesinductive limits of subsets

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Topological spaces and generalizations (closure spaces, etc.) (54A05) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Topological linear spaces and related structures (46A99) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (2)

Continuous convergence and functional analysis ⋮ Convergence \({\mathcal {LF}}\) spaces

Cites Work

• On the Convergence Vector Space ℒ,(E, F) and its Dual Space

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