On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces

DOI10.4064/SM-75-2-103-119zbMath0541.46002OpenAlexW805608070MaRDI QIDQ3327138

Andreas Benndorf

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/218499

zbMATH Keywords

nuclear Fréchet spacesbounded approximation propertyFrechét-Schwartz spaceunconditional partition of the identity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) 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 (4)

On the BAP in Fréchet Schwartz spaces and their duals ⋮ Characterizing Fréchet–Schwartz spaces via power bounded operators ⋮ On bounded approximation properties of spaces of holomorphic functions on certain open subsets of strong duals of nuclear Frechet spaces ⋮ Complemented basic sequences in nuclear Frechet spaces with finite dimensional decompositions

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