(F)-spaces and strict (LF)-spaces

DOI10.1007/BF01161761zbMath0628.46001OpenAlexW2008173053MaRDI QIDQ1093131

Manuel Valdivia

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183697

zbMATH Keywords

(locally) complete quotient spaces for strict (LF)-spaces and their dualsB- and \(B_ r\)-completenessexistence of certain quotient spaces of some classes of Köthe echelon spacesspace of ultradifferentiable functions and the space of ulradistributions of Beurling are not \(B_ r\)-complete

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) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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