In order to study l-group-valued finitely additive measures, some particular notions have been introduced for s-boundedness, countable additivity, convergence and so on. With these concepts, which agree with the classical ones in the topological-valued case, a number of results of the type of Vitali-Hahn-Saks and Nikodym theorems have been obtained for l-group-valued measures.
Uniform s-boundedness and convergence results for measures with values in complete l-groups
BOCCUTO, Antonio;CANDELORO, Domenico
2002
Abstract
In order to study l-group-valued finitely additive measures, some particular notions have been introduced for s-boundedness, countable additivity, convergence and so on. With these concepts, which agree with the classical ones in the topological-valued case, a number of results of the type of Vitali-Hahn-Saks and Nikodym theorems have been obtained for l-group-valued measures.File in questo prodotto:
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