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Classical properties of measure theory on effect algebras - MaRDI portal

Classical properties of measure theory on effect algebras (Q853476)

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scientific article; zbMATH DE number 5073339
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Classical properties of measure theory on effect algebras
scientific article; zbMATH DE number 5073339

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    Classical properties of measure theory on effect algebras (English)
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    15 November 2006
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    The paper deals with sequences of measures on special effect algebras. The author generalizes the Nykodym property, Grothendiek property, and the Vitali-Hahn-Saks property studied by \textit{W. Schachermayer} [Diss. Math. 204, 1--33 (1982; Zbl 0522.28007)] from Boolean algebras to special effect algebras called quantum natural algebras. Sufficient conditions are given guaranteeing the above mentioned properties and some related results are obtained.
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    effect algebras
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    measure
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