Unbounded linear operators and nuclear Köthe quotients

DOI10.1007/BF01188687zbMath0674.46001OpenAlexW1991610827MaRDI QIDQ1121485

Tosun Terzioǧlu, Süleyman Önal

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01188687

zbMATH Keywords

locally convex spacebounded approximation propertyFrechet spacenuclear Köthe spacenuclear Köthe quotientcondition (y)continuous surjectionunbounded continuous operator

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) 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) Duality theory for topological vector spaces (46A20)

Related Items

\(C_{0}\)-semigroups and mean ergodic operators in a class of Fréchet spaces, Spaces of operators between Fréchet spaces, On quotients of Köthe sequence spaces of infinite order, Uniform convergence and spectra of operators in a class of Fréchet spaces, On some normability conditions, A characterization of classes of Fréchet spaces and the density condition, On quotients of non‐Archimedean Fréchet spaces, Uniform mean ergodicity of \(C_0\)-semigroups in a class of Fréchet spaces, The existence of a factorized unbounded operator between Fréchet spaces

Cites Work

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• Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.