Remarks and examples concerning the weak basis theorem

DOI10.1007/BF01198224zbMath0795.46007MaRDI QIDQ1176762

Jerzy Kąkol

Publication date: 25 June 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

weak basis theoremnon-locally convex \(F\)-spaces with a continuous norm

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Summability and bases in topological vector spaces (46A35)

Cites Work

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• On the three-space-problem for topological vector spaces
• Examples of locally compact non-compact minimal topological groups
• Topological vector spaces. The theory without convexity conditions
• Basic sequences in F-spaces and their applications
• On the Weak Basis Theorem in F-spaces
• On basis sequences in non-locally convex spaces
• The Weak Basis Theorem Fails in Non-Locally Convex F-Spaces
• Examples for the Nonlocally Convex Three Space Problem
• On Properties of Subspaces of l p , 0 < p < 1
• Normalization Properties of Schauder Bases

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