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

DOI10.1007/BF01226497zbMath0412.46002WikidataQ116447896 ScholiaQ116447896MaRDI QIDQ1260321

Ed Dubinsky, Czeslaw Bessaga

Publication date: 1979

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

zbMATH Keywords

nuclear Frechet space

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)

Characterization of subspaces of certain sequence spaces ⋮ Closed ideals of \(A^\infty\) and a famous problem of Grothendieck ⋮ Closed subspaces without Schauder bases in non-Archimedean Fréchet spaces

Cites Work

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• Subspaces without bases in nuclear Frechet spaces
• Modified construction of nuclear Frechet spaces without basis
• Examples of nuclear linear metric spaces without a basis
• Quotient Spaces Without Bases in Nuclear Frechet Spaces
• Nuclear Fréchet spaces without the bounded approximation property

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