On a problem of Bellenot and Dubinsky

DOI10.1007/BF01458608zbMath0586.46001OpenAlexW2092205677MaRDI QIDQ1071993

Peter Harmand, Susanna Dierolf, Ehrhard Behrends

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164153

zbMATH Keywords

example of a separable Fréchet space which is not a Banach space, admitting a continuous norm but no nuclear Köthe quotientrepresentation as a strict LB-space

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) Inductive and projective limits in functional analysis (46M40)

Related Items (10)

Weak$^*$ closures and derived sets for convex sets in dual Banach spaces ⋮ \(C_{0}\)-semigroups and mean ergodic operators in a class of Fréchet spaces ⋮ Strict regularity of a separable Fréchet space that does not have a nuclear Köthe quotient ⋮ Principle of local reflexivity for operators and quojections ⋮ Unbounded linear operators and nuclear Köthe quotients ⋮ Examples of non-Archimedean Fréchet spaces without nuclear Köthe quotients ⋮ Uniform convergence and spectra of operators in a class of Fréchet spaces ⋮ Characterization of Banach spaces which are completions with respect to total nonnorming subspaces ⋮ On tame pairs of Fréchet spaces ⋮ Uniform mean ergodicity of \(C_0\)-semigroups in a class of Fréchet spaces

Cites Work

• Unnamed Item
• A note on quojections
• Frechet Spaces with Nuclear Kothe Quotients

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