Nuclear Fréchet spaces with locally round finite dimensional decomposition

DOI10.1007/BF02349625zbMath0536.46005MaRDI QIDQ791823

Ed Dubinsky, Lasse Holmström

Publication date: 1984

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178179

zbMATH Keywords

Fréchet spacesKöthe spacebasisblock quotientsblock subspaceslocally round finite dimensional decompositions

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) 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 (2)

The Ramsey theorem and complemented basic sequences in Fréchet spaces with absolute finite-dimensional decompositions ⋮ Quojections and finite-dimensional decompositions

Cites Work

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• Superspaces of (s) with strong finite dimensional decomposition
• Subspaces without bases in nuclear Frechet spaces
• Complemented basic sequences in nuclear Frechet spaces with finite dimensional decompositions
• The structure of nuclear Frechet spaces
• Köthe spaces differing in diametral dimensionality
• Extensions of basic sequences in Fréchet spaces
• A characterization of ω by block extensions

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