On non-primary Fréchet Schwartz spaces

DOI10.4064/sm-126-3-291-307zbMath0896.46001OpenAlexW879389404MaRDI QIDQ4377152

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Publication date: 9 February 1998

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216456

zbMATH Keywords

continuous normfinite-dimensional decompositionspace of holomorphic functions of bounded typequasinormable Fréchet spacesunconditional decompositionsFréchet Schwartz spacespaces of Moscatelli typeprimary spacesbounded absolutely convex open setlocally normable Köthe sequence space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)