Quotient Spaces Without Bases in Nuclear Frechet Spaces

DOI10.4153/CJM-1978-106-9zbMath0399.46003OpenAlexW2323145475MaRDI QIDQ4183787

Ed Dubinsky, Boris S. Mityagin

Publication date: 1978

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1978-106-9

zbMATH Keywords

SubspaceNuclear Frechet SpacesContinuous NormQuotient Space Without a Basis

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)

Closed ideals of \(A^\infty\) and a famous problem of Grothendieck ⋮ 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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