On bounded approximation properties of spaces of holomorphic functions on certain open subsets of strong duals of nuclear Frechet spaces

DOI10.1007/BF01304784zbMath0486.46004MaRDI QIDQ1164822

Andreas Benndorf

Publication date: 1982

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

zbMATH Keywords

space of holomorphic functionsbounded approximation propertiesfinite dimensional decompositioncharacterisation of Frechet-Schwartz spacesstrong dual of a nuclear Frechet space with a basis

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) 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)

Cites Work

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• Théorie des distributions à valeurs vectorielles
• Modified construction of nuclear Frechet spaces without basis
• Examples of nuclear linear metric spaces without a basis
• An example of a nuclear space in infinite dimensional holomorphy
• On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces
• On λ(P,N)-nuclearity and operator ideals
• Holomorphic functions on fully nuclear spaces

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