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
2001-01-01

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/106530
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