Convex sets in metrizable spaces

DOI10.1007/BF01223699zbMath0439.46009OpenAlexW2039807850MaRDI QIDQ1142394

Manuel Valdivia

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01223699

zbMATH Keywords

countable topological direct sum of quasi-reflexive Banach spacesproperty of Krein-Šmulian

Mathematics Subject Classification ID

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) Inductive and projective limits in functional analysis (46M40) Convex sets in topological linear spaces; Choquet theory (46A55)

Cites Work

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• \(B_r\) completeness
• On metrizable locally convex spaces
• A note on \(B\)- and \(B_ r\)-completeness
• Bases and reflexivity of Banach spaces
• Quasi-Reflexive Spaces
• Some criteria for weak compactness.

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