On quotients of Köthe sequence spaces of infinite order

DOI10.1007/BF01195706zbMath0858.46010OpenAlexW2047799184MaRDI QIDQ1924901

Juan Carlos Diaz, Carmen Fernández

Publication date: 25 March 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195706

zbMATH Keywords

quasinormablereflexiveKöthe sequence spacedensity conditionseparable quotientlocal Grothendieck property

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 (2)

Fréchet spaces with no infinite-dimensional Banach quotients ⋮ Some permanence results of the Dunford-Pettis and Grothendieck properties in lcHs

Cites Work

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• Unbounded linear operators and nuclear Köthe quotients
• The problem of topologies of Grothendieck for quojections
• The density condition in subspaces and quotients of Fréchet spaces
• A characterization of totally reflexive Fréchet spaces
• Basic Sequences in Non-Schwartz-Frechet Spaces
• Stefan Heinrich's Density Condition for Fréchet Spaces and the Characterization of the Distinguished Köthe Echelon Spaces

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