Distinguished Köthe spaces

DOI10.1007/BF01180688zbMath0661.46008MaRDI QIDQ1113042

Dietmar Vogt

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/174080

zbMATH Keywords

characterization of distinguished Köthe spaces in terms of the defining matrixKöthe-Grothendieck counterexample

Mathematics Subject Classification ID

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

Related Items (7)

The density condition in subspaces and quotients of Fréchet spaces ⋮ Interpolation of entire functions and projective descriptions ⋮ The density condition and distinguishedness for weighted Fréchet spaces of holomorphic func\-tions ⋮ Weighted spaces of harmonic and holomorphic functions: sequence space representations and protective descriptions ⋮ The strong Pytkeev property for topological groups and topological vector spaces ⋮ Distinguishedness of weighted Fréchet spaces of continuous functions ⋮ Two problems of Valdivia on distinguished Fréchet spaces

Cites Work

• A Köthe space which has a continuous norm but whose bidual does not
• On two classes of (F)-spaces
• Ultrapowers of Locally Convex Spaces and Applications, I
• Stefan Heinrich's Density Condition for Fréchet Spaces and the Characterization of the Distinguished Köthe Echelon Spaces
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