Nuclear Fréchet spaces without the bounded approximation property

DOI10.4064/SM-71-1-85-105zbMath0482.46003OpenAlexW1142996341MaRDI QIDQ5905065

Ed Dubinsky

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/218412

zbMATH Keywords

countably normednuclear Frechet space without the bounded approximation propertyspace of all rapidly decreasing sequences

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) 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) Inductive and projective limits in functional analysis (46M40) Tensor products in functional analysis (46M05)

Related Items (5)

Characterization of nuclear Fréchet spaces in which every bounded set is polar ⋮ An example of a nuclear Fréchet space without the bounded approximation property ⋮ A nuclear Fréchet space consisting of 𝐶^{∞}-functions and failing the bounded approximation property ⋮ Unnamed Item ⋮ Nuclear Frechet spaces without bases. III: Every nuclear Frechet space not isomorphic to omega admits a subspace and a quotient space without a strong finite dimensional decomposition

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