On Valdivia strong version of Nikodym boundedness property

DOI10.1016/J.JMAA.2016.08.032zbMath1357.28003OpenAlexW2515749752WikidataQ59330043 ScholiaQ59330043MaRDI QIDQ321734

Jerzy Kąkol, Manuel López-Pellicer

Publication date: 14 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.08.032

zbMATH Keywords

\(\sigma\)-algebravector measure\((LF)\)-spacefinitely additive scalar measureincreasing treeNikodym and strong Nikodym property

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (8)

Nikodym boundedness property for webs in \(\sigma\)-algebras ⋮ On Schachermayer and Valdivia results in algebras of Jordan measurable sets ⋮ On Nikodým and Rainwater sets for ba (R) and a problem of M. Valdivia ⋮ 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

• Nikodym boundedness property for webs in \(\sigma\)-algebras
• On Schachermayer and Valdivia results in algebras of Jordan measurable sets
• On Nikodym boundedness property
• On certain barrelled normed spaces
• Strong barrelledness properties in \(\ell ^{\infty}_ 0(X,{\mathcal A})\) and bounded finite additive measures
• Webs and bounded finitely additive measures
• Strong barrelledness properties in certain \(\ell_ 0^ \infty(\mathcal {A})\) spaces
• On closed graph theorem
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