On the Closed Graph Theorem and Spaces with Webs†

DOI10.1112/plms/s3-24.4.692zbMath0238.46005OpenAlexW1999791073MaRDI QIDQ5648931

Wendy J. Robertson

Publication date: 1972

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-24.4.692

Mathematics Subject Classification ID

Barrelled spaces, bornological spaces (46A08) 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 (14)

Sequential completeness and regularity of inductive limits of webbed spaces ⋮ Valdivia's lifting theorem for non-metrizable spaces ⋮ Convex operators into webbed spaces ⋮ Convolvability and regularization of distributions ⋮ A generalization of the closed graph theorem ⋮ Categorical anatomy of closed graph and open mapping theorems ⋮ The closed graph theorem and generalized well-posedness of the abstract Cauchy problem ⋮ The space \(\dot{\mathcal {B}}^\prime\) of distributions vanishing at infinity: duals of tensor products ⋮ Ultracomplete convergence vector spaces and the closed graph theorem ⋮ Closed graph theorems for generalized inductive limit topologies ⋮ HYPERSPACES ⋮ Vollständige und B-vollständige topologische Vektorgruppen, Graphensätze und open-mapping theorems ⋮ Closed bounded sets in inductive limits of $\Cal K$-spaces ⋮ Inductive limits of quasi-locally Baire spaces

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