On the equivalence of weak and Schauder bases

DOI10.1007/BF01210785zbMath0605.46006OpenAlexW2066073846MaRDI QIDQ1084289

José Orihuela

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01210785

zbMATH Keywords

Schauder basisclosed graph theorembarrelled spacesSchauder decompositioncontinuity theorem for the linear coefficients of a basis in a locally convex spaceweak basis theorem

Mathematics Subject Classification ID

Barrelled spaces, bornological spaces (46A08) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Summability and bases in topological vector spaces (46A35)

Related Items (1)

On weak and Schauder \({\mathcal F}\)-bases in topological vector spaces

Cites Work

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• Über nicht-vollständige Montelräume
• Absolutely convex sets in barrelled spaces
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• The weak basis theorem
• Weak Bases in (F and (LF )-Spaces
• Bases in sequentially retractive limit spaces
• Developments in Schauder basis theory
• On the representation of analytic functions by infinite series

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