Subspaces without bases in nuclear Frechet spaces

DOI10.1016/0022-1236(77)90007-6zbMath0444.46005OpenAlexW2029386267MaRDI QIDQ1144758

Ed Dubinsky

Publication date: 1977

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(77)90007-6

zbMATH Keywords

nuclear Frechet space without a basissubspaces without bases

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 (2)

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 ⋮ Nuclear Fréchet spaces with locally round finite dimensional decomposition

Cites Work

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• Modified construction of nuclear Frechet spaces without basis
• Infinite type power series subspaces of finite type power series spaces
• Concrete subspaces of nuclear Fréchet spaces
• Sur les espaces métriques linéaires (I)

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