Some remarks on quasi-equivalence of bases in Fréchet spaces

DOI10.1016/S0024-3795(99)00277-3zbMath1012.46010MaRDI QIDQ1973916

Nahum Zobin

Publication date: 26 June 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Fréchet spacesSchauder basesnuclear spacesquasi-equivalent bases

Mathematics Subject Classification ID

Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35)

Related Items (1)

Quasi-equivalence of bases in some Whitney spaces

Cites Work

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• Examples of nuclear linear metric spaces without a basis
• The structure of nuclear Frechet spaces
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• Every nuclear Fréchet space with a regular basis has the quasi-equivalence property
• A short proof of the theorem of Crone and Robinson on quasi-equivalence of regular bases
• Fréchet spaces with a unique unconditional basis
• Produits tensoriels topologiques et espaces nucléaires

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