Some versions of Dieudonne' theorems are given for additive set functions, not necessarily positive, taking values in Dedekind complete (l)-groups, relatively to (D)-convergence. The countably additive case is also considered, in particular. In our approach, the concepts of regularity, strong boundedness and sigma additivity are considered with respect to a common regulator.
Dieudonné-type theorems for set functions with values in l-groups
BOCCUTO, Antonio;CANDELORO, Domenico
2002
Abstract
Some versions of Dieudonne' theorems are given for additive set functions, not necessarily positive, taking values in Dedekind complete (l)-groups, relatively to (D)-convergence. The countably additive case is also considered, in particular. In our approach, the concepts of regularity, strong boundedness and sigma additivity are considered with respect to a common regulator.File in questo prodotto:
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