Complemented basic sequences in nuclear Frechet spaces with finite dimensional decompositions

DOI10.1007/BF01304769zbMath0494.46004MaRDI QIDQ1169127

Ed Dubinsky

Publication date: 1982

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

zbMATH Keywords

complemented subspace with a basisexistence of a complemented basic sequencenuclear Frechet space with a finite dimensional decomposition

Mathematics Subject Classification ID

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)

The Ramsey theorem and complemented basic sequences in Fréchet spaces with absolute finite-dimensional decompositions ⋮ Quojections and finite-dimensional decompositions ⋮ Superspaces of (s) with strong finite dimensional decomposition ⋮ Nuclear Fréchet spaces with locally round finite dimensional decomposition

Cites Work

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• Modified construction of nuclear Frechet spaces without basis
• On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces
• Some remarks on Dragilev's theorem

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