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On stable \(D_1\) and \(D_2\) spaces

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Publication:1147331
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DOI10.1007/BF01223737zbMath0449.46011OpenAlexW3007838497MaRDI QIDQ1147331

Lasse Holmström

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01223737

zbMATH Keywords

complemented subspacepower series spacesKöthe sequence spacesDragilev spacesblock basic sequencediametral dimensionsKöthe matrixnuclear Frechet space with basisstable D1 space


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)


Related Items

Superspaces of (s) with strong finite dimensional decomposition



Cites Work

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  • Die diametrale Dimension von lokalkonvexen Räumen
  • Köthe spaces differing in diametral dimensionality
  • Every nuclear Fréchet space with a regular basis has the quasi-equivalence property
  • Relationships Between λ-Nuclearity and Pseudo-μ-Nuclearity
  • Stability of smooth sequence spaces.
  • Some remarks on Dragilev's theorem
  • On 𝜆-nuclearity
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