On the completion of (LF)-spaces

DOI10.1007/BF01630681zbMath0611.46001OpenAlexW2014353378MaRDI QIDQ1087777

J. M. García-Lafuente

Publication date: 1987

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178319

zbMATH Keywords

strict (LF)-spacescompleteness of (LF)-spacescompletion properties of (LB)-spacesopen mapping theorem for completions of (LF)-spaces

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Inductive and projective limits in functional analysis (46M40) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Cites Work

• Unnamed Item
• (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• On the stability of barrelled topologies, III
• Metrizable (LF)-spaces, (db)-spaces, and the separable quotient problem

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