A Note on Countably Normed Nuclear Spaces

DOI10.2307/2045495zbMath0532.46001OpenAlexW4237987727MaRDI QIDQ3314353

Lasse Holmström

Publication date: 1983

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045495

zbMATH Keywords

nuclear Fréchet space without the bounded approximation propertycountably normed nucler Köthe spaceKōmura- Kōmura imbedding theoremNuclear Fréchet spacesubspaces of nuclear Köthe spaces with a continuous norm

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 (3)

On closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis ⋮ Two results on Fréchet Schwartz spaces ⋮ Restrictions of unbounded continuous linear operators on Fréchet spaces

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