Quasi-LB-Spaces

DOI10.1112/jlms/s2-35.1.149zbMath0625.46006OpenAlexW2048411055MaRDI QIDQ3027641

Manuel Valdivia

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-35.1.149

zbMATH Keywords

closed graph theoremultrabornologicalLF-spaceslocalization propertieslifting theoremsspaces of continuous linear mapsany locally complete webbed space has a strict webcompleting webcountable inductive limit of metrizable spacesordered strict webquasi-LB-representationquasi-LB-spacesstrictly barrelled spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) 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) Barrelled spaces, bornological spaces (46A08) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spaces of linear operators; topological tensor products; approximation properties (46A32) Inductive and projective limits in functional analysis (46M40) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Tensor products in functional analysis (46M05) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

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