On the semimetric on a Boolean algebra induced by a finitely additive probability measure

DOI10.2140/PJM.1982.99.249zbMath0489.28006OpenAlexW1987018128MaRDI QIDQ1166641

Thomas E. Armstrong, Karel Prikry

Publication date: 1982

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1982.99.249

zbMATH Keywords

absolutely continuousRadon-Nikodym derivativesVitali-Hahn-Saks theoremHahn decompositionsexamples of non-completenessFrechet-Nikodym metricsigned finitely additive measures

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Measures on Boolean rings, measure algebras (28A60)

Related Items (6)

Conglomerability of probability measures on Boolean algebras ⋮ Notes on Jordan fields based on an article by Maharam ⋮ Full conglomerability ⋮ Completeness of \(L_p\)-spaces in the finitely additive setting and related stories ⋮ The core-Walras equivalence ⋮ On measures induced by forcing names for ultrafilters

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