The density condition in subspaces and quotients of Fréchet spaces

DOI10.1007/BF01299702zbMath0804.46002OpenAlexW1991156876MaRDI QIDQ1330966

José Bonet, Juan Carlos Diaz

Publication date: 10 August 1994

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178644

zbMATH Keywords

quasinormableFréchet spacestrong dualdistinguishedKöthe echelon spacedensity condition of subspaces and separated quotients of Fréchet spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) 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 (5)

The density condition and distinguishedness for weighted Fréchet spaces of holomorphic func\-tions ⋮ On quotients of Köthe sequence spaces of infinite order ⋮ Basic Sequences in the Dual of a Fréchet Space ⋮ On the work of Lech Drewnowski ⋮ Two problems of Valdivia on distinguished Fréchet spaces

Cites Work

• Distinguished Köthe spaces
• The problem of topologies of Grothendieck for quojections
• On minimally subspace-comparable F-spaces
• A characterization of totally reflexive Fréchet spaces
• On totally incomparable Banach spaces
• Locally Bounded Noncontinuous Linear Forms on Strong Duals of Nondistinguished Kothe Echelon Spaces
• A Characterization of the Quasi-Normable Fréchet Spaces
• Shorter Notes: An Example of Frechet Space, not Montel, Without Infinite Dimensional Normable Subspaces
• Ultrapowers of Locally Convex Spaces and Applications, II
• Basic Sequences in Non-Schwartz-Frechet Spaces
• Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau
• Stefan Heinrich's Density Condition for Fréchet Spaces and the Characterization of the Distinguished Köthe Echelon Spaces
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