`Restricted' closed graph theorems

DOI10.4171/ZAA/775zbMath0926.46003MaRDI QIDQ1368779

Johann Boos, Toivo Leiger

Publication date: 29 November 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

summabilitylocally convex spacesbarrelled spacesweak sequential completeness\(\Theta\)-completeness\(A_\varphi\)-spaces\(A\)-completeness\(B_r\)-completeness\(L_\varphi\)-spacesMackey spacesrestricted closed graph theorems

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Barrelled spaces, bornological spaces (46A08) Functional analytic methods in summability (40H05) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (1)

Non-archimedean closed graph theorems

Cites Work

• On inductive limits of Banach spaces
• A note on the closed graph theorem
• \(L_ \varphi\)-spaces and some related sequence spaces
• Topologies on sequence spaces
• Completeness and the open mapping theorem
• Weakly compactly generated locally convex spaces
• Inclusion Theorems forK-Spaces
• Convergence Fields of Row-Finite and Row-Infinite Toeplitz Transformations
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