Strict regularity of a separable Fréchet space that does not have a nuclear Köthe quotient

DOI10.1007/BF01139572zbMath0666.46006MaRDI QIDQ1116403

David N. Zarnadze

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

quojectiondistinguishedcondition (*) of Bellenot-Dubinskynuclear Köthe quotientprequojectionsstrict (LB)-spacestrictly regular

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) Barrelled spaces, bornological spaces (46A08) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Duality theory for topological vector spaces (46A20)

Cites Work

• A note on strictly regular Fréchet spaces
• On a problem of Bellenot and Dubinsky
• The structure of nuclear Frechet spaces
• A note on quojections
• A Fréchet space which has a continuous norm but whose bidual does not
• Frechet Spaces with Nuclear Kothe Quotients