Displaying similar documents to “Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (ℓ)-group-valued measures”

Convergence theorems for measures with values in Riesz spaces

Domenico Candeloro (2002)

Kybernetika

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In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in l -groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.

Absolute continuity theorems for abstract Riemann integration

E. de Amo, R. del Campo, M. Díaz Carillo (2007)

Czechoslovak Mathematical Journal

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Absolute continuity for functionals is studied in the context of proper and abstract Riemann integration examining the relation to absolute continuity for finitely additive measures and giving results in both directions: integrals coming from measures and measures induced by integrals. To this end, we look for relations between the corresponding integrable functions of absolutely continuous integrals and we deal with the possibility of preserving absolute continuity when extending the...