Strong barrelledness properties in \(\ell ^{\infty}_ 0(X,{\mathcal A})\) and bounded finite additive measures

DOI10.1007/BF01446926zbMath0687.46001OpenAlexW2001064490WikidataQ59330155 ScholiaQ59330155MaRDI QIDQ1263037

Juan Carlos Ferrando, Manuel López-Pellicer

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/164718

zbMATH Keywords

dual spaceBaire-likebarrelled spacebounded finite additive measurestrongly bounded finite additive measuressuprabarrelled space

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Sequence spaces (including Köthe sequence spaces) (46A45) Barrelled spaces, bornological spaces (46A08) Spaces of measures (46E27)

Related Items (7)

A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions ⋮ Algebras of sets generating non-barrelled spaces ⋮ On Valdivia strong version of Nikodym boundedness property ⋮ Nikodym boundedness property for webs in \(\sigma\)-algebras ⋮ Webs and bounded finitely additive measures ⋮ Vitali-Hahn-Saks property in coverings of sets algebras ⋮ A Note on a Theorem of J. Diestel and B. Faires

Cites Work

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• Remarks and examples concerning suprabarrelled and totally barrelled spaces
• On certain barrelled normed spaces
• Topological vector spaces. The theory without convexity conditions
• Absolutely convex sets in barrelled spaces
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• On uniform boundedness properties in exhausting additive set function spaces

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