Absolute continuity, singularity and Lebesgue decompositions are studied for finitely or countably additive measures taking values in super Dedekind complete l-groups. By means of a Vitali-Hahn-Saks-Nikodym result we deduce a convergence theorem for the Lebesgue decompositions of a convergent sequence of finitely additive measures.

Convergence and decompositions for l-group-valued set functions

BOCCUTO, Antonio;CANDELORO, Domenico
2004-01-01

Abstract

Absolute continuity, singularity and Lebesgue decompositions are studied for finitely or countably additive measures taking values in super Dedekind complete l-groups. By means of a Vitali-Hahn-Saks-Nikodym result we deduce a convergence theorem for the Lebesgue decompositions of a convergent sequence of finitely additive measures.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/113931
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