Superspaces of (s) with strong finite dimensional decomposition

DOI10.1007/BF01198129zbMath0515.46002OpenAlexW149990395MaRDI QIDQ1051839

Lasse Holmström

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01198129

zbMATH Keywords

nuclear Frechet spacespace of rapidly decreasing sequencesstrong finite dimensional decomposition

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

Complemented infinite type power series subspaces of nuclear Fréchet spaces ⋮ Nuclear Fréchet spaces with locally round finite dimensional decomposition

Cites Work

• On stable \(D_1\) and \(D_2\) spaces
• Complemented basic sequences in nuclear Frechet spaces with finite dimensional decompositions
• Modified construction of nuclear Frechet spaces without basis
• The structure of nuclear Frechet spaces
• Transversal theory. An account of some aspects of combinatorial mathematics
• Superspaces of (s) with basis
• Every nuclear Fréchet space with a regular basis has the quasi-equivalence property
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