On Nikodym boundedness property

DOI10.1007/s13398-012-0081-7zbMath1290.46019OpenAlexW1994313196MaRDI QIDQ380429

Manuel Valdivia

Publication date: 14 November 2013

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-012-0081-7

zbMATH Keywords

barrelednessbounded vector measureNikodým boundedness property

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Barrelled spaces, bornological spaces (46A08) Spaces of measures (46E27)

Related Items (10)

The Nikodym property and cardinal characteristics of the continuum ⋮ On Valdivia strong version of Nikodym boundedness property ⋮ Nikodym boundedness property for webs in \(\sigma\)-algebras ⋮ On Schachermayer and Valdivia results in algebras of Jordan measurable sets ⋮ The Nikodym property in the Sacks model ⋮ Weak sequential convergence in bounded finitely additive measures ⋮ Vitali-Hahn-Saks property in coverings of sets algebras ⋮ The uniform bounded deciding property and the separable quotient problem ⋮ Convergence of measures in forcing extensions ⋮ Minimally generated Boolean algebras and the Nikodym property

Cites Work

• On certain barrelled normed spaces
• Webs and bounded finitely additive measures
• Strong barrelledness properties in certain \(\ell_ 0^ \infty(\mathcal {A})\) spaces
• Über nicht-vollständige Montelräume
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