On the Identity L(E, F) = LB(E, F) for Pairs of Locally Convex Spaces E and F

DOI10.2307/2046620zbMath0683.46012OpenAlexW4234020550MaRDI QIDQ4732910

José Bonet

Publication date: 1987

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046620

zbMATH Keywords

barrelledlocalization propertystrict LB-spaceprequojectionbounded linear mappingcountable- neighbourhood-propertiescountable-boundednessevery nuclear Köthe spaceproper quojectionspaces of linear and continuous mappings

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) General theory of locally convex spaces (46A03) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces of linear operators; topological tensor products; approximation properties (46A32)

Related Items (7)

Bounded, Montel and compact operators on vector valued Köthe spaces ⋮ Spaces of operators between Fréchet spaces ⋮ Generalized prequojections and bounded maps ⋮ Non-quasianalytic curves in Fréchet spaces ⋮ Fréchet-Hilbert spaces and the property SCBS ⋮ Levi extension theorems for meromorphic functions of weak type in infinite dimension ⋮ The sets of monomorphisms and of almost open operators between locally convex spaces

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