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
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.File in questo prodotto:
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