Some Drewnowski-type lemmas are given for l-group-valued measures. Moreover some Vitali-Hahn-Saks, Schur and Nikodym convergence-type theorems in the context of l-groups are proved. Among the used tools, we recall the Maeda-Ogasawara-Vulikh representation theorems, and - as a consequence of it - a technical lemma, which allows us to deal with measures, strongly bounded or countably additive similarly as in the classical case, and not necessarily with respect to a common order sequence.
Countably additive restrictions and limit theorems in l-groups
BOCCUTO, Antonio;
2010
Abstract
Some Drewnowski-type lemmas are given for l-group-valued measures. Moreover some Vitali-Hahn-Saks, Schur and Nikodym convergence-type theorems in the context of l-groups are proved. Among the used tools, we recall the Maeda-Ogasawara-Vulikh representation theorems, and - as a consequence of it - a technical lemma, which allows us to deal with measures, strongly bounded or countably additive similarly as in the classical case, and not necessarily with respect to a common order sequence.File in questo prodotto:
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