On extending and lifting continuous linear mappings in topological vector spaces

DOI10.4064/sm-62-3-295-303zbMath0398.46007OpenAlexW1525032350MaRDI QIDQ4183216

W. Gejler

Publication date: 1978

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218192

zbMATH Keywords

LiftingExtension PropertyFrechet SpacesInjective SpaceP-Banach SpacesSeparating Continuous Duals

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) 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)

Related Items (3)

Every nuclear Frechet space is a quotient of a Köthe Schwartz space ⋮ The existence of UFO implies projectively universal morphisms ⋮ An extension and lifting theorem for bounded linear mappings in locally convex spaces and some applications

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