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Equivalence of Brooks-Jewett, Vitali-Hahn-Saks and Nikodým convergence theorems for uniform semigroup-valued additive functions on a Boolean ring

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Publication:1088015
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zbMath0612.28006MaRDI QIDQ1088015

Pedro Morales, Paolo de Lucia

Publication date: 1986

Published in: Ricerche di Matematica (Search for Journal in Brave)


zbMATH Keywords

Brooks-Jewett theoremVitali-Hahn-Saks theoremNikodým convergence theoremsemigroup-valued additive functionsstrongly bounded additive functions


Mathematics Subject Classification ID

Measures on Boolean rings, measure algebras (28A60) Group- or semigroup-valued set functions, measures and integrals (28B10)


Related Items

On Dieudonné's boundedness theorem ⋮ Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups ⋮ Modular functions: uniform boundedness and compactness ⋮ On Brooks-Jewett, Vitali-Hahn-Saks and Nikodým convergence theorems for quasi-triangular functions



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