Some Schur, Vitali-Hahn-Saks and Nikodym convergence theorems for l-group-valued measures are given in the context of (D)-convergence. We consider both the sigma-additive and the finitely additive case. The pointwise convergence of the measures involved is assumed to be with respect to a common regulator, while the concepts of sigma-additivity and strong boundedness are formulated similarly as the corresponding classical ones (and not with respect to a same regulator).
Limit theorems in l-groups with respect to D-convergence
BOCCUTO, Antonio;
2012
Abstract
Some Schur, Vitali-Hahn-Saks and Nikodym convergence theorems for l-group-valued measures are given in the context of (D)-convergence. We consider both the sigma-additive and the finitely additive case. The pointwise convergence of the measures involved is assumed to be with respect to a common regulator, while the concepts of sigma-additivity and strong boundedness are formulated similarly as the corresponding classical ones (and not with respect to a same regulator).File in questo prodotto:
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