\(B_ r\)-complete spaces which are not B-complete

DOI10.1007/BF01181696zbMath0549.46005OpenAlexW2912658871MaRDI QIDQ800601

Manuel Valdivia

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/173399

zbMATH Keywords

infinite codimensionexample of a \(B_ r\)-complete space which is not B-completeexample of a \(B_ r\)-complete space with a non- complete quotientstrong dual

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Duality theory for topological vector spaces (46A20) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (1)

Perfectly complete and \(B_ r\)-complete locally convex spaces in terms of the natural topology

Cites Work

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• Separable conjugate spaces
• On James's paper 'Separable conjugate spaces'
• Completeness and the open mapping theorem
• On weak compactness
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
• Completeness and Compactness in Linear Topological Spaces

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