Perfectly complete and \(B_ r\)-complete locally convex spaces in terms of the natural topology

DOI10.1007/BF01095620zbMath0714.46005OpenAlexW2078016491MaRDI QIDQ750815

S. A. Kuznetsov

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01095620

zbMATH Keywords

dualitynatural topologyalmost closed subspacebarrelled Schwartz spacebornological in the Mackey topologyfully complete

Mathematics Subject Classification ID

Barrelled spaces, bornological spaces (46A08) 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)

Cites Work

• \(B_ r\)-complete spaces which are not B-complete
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