Ultracomplete convergence vector spaces and the closed graph theorem

DOI10.1016/S0166-8641(99)00189-3zbMath1010.46001MaRDI QIDQ5929000

Ronald Beattie, Heinz-Peter Butzmann

Publication date: 20 May 2003

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

zbMATH Keywords

closed graph theoremconvergence spacewebs

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

An improved nonlinear closed graph theorem ⋮ An improvement of a recent closed graph theorem

Cites Work

• Double closed-graph theorem for topological linear spaces
• Completeness and the open mapping theorem
• On continuity of inverse operators
• On the Closed Graph Theorem and Spaces with Webs^†
• Produits tensoriels topologiques et espaces nucléaires
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