From B-completeness to countable codimensional subspaces via the closed graph theorem

DOI10.1017/S030821050001204XzbMath0456.46003MaRDI QIDQ3905917

H. Saiflu, Ian Tweddle

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

closed graph theoremultrabornological spacesB-completenesscountable co-dimensional subspacesMackey-closedstrict web

Mathematics Subject Classification ID

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) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (1)

The domain spaces for Marguina's closed graph theorem

Cites Work

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• Einige Vererbbarkeitseigenschaften von B- und B\(_r\)-vollständigen Räumen
• Der Graphensatz in topologischen Vektorräumen
• Absolutely convex sets in barrelled spaces
• On the closed graph theorem
• A note on \(B\)- and \(B_ r\)-completeness
• Finite codiemensional subspaces of topological vector spaces and the closed graph theorem
• A property of locally convex Baire spaces
• Topological Groups and the Closed-Graph Theorem
• Semiconvex spaces
• On final topologies.

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