Some versions of Dieudonne' theorems are given for finitely additive set functions, not necessarily positive, taking values in Dedekind-complete (l)-groups. In our setting, regularity, strong boundedness and pointwise convergence of the measures involved are intended in the setting of (D)-convergence and with respect of a same regulator.
Dieudonnè-type theorems for set functions with values in (l)-groups
BOCCUTO, Antonio;CANDELORO, Domenico
2001
Abstract
Some versions of Dieudonne' theorems are given for finitely additive set functions, not necessarily positive, taking values in Dedekind-complete (l)-groups. In our setting, regularity, strong boundedness and pointwise convergence of the measures involved are intended in the setting of (D)-convergence and with respect of a same regulator.File in questo prodotto:
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