In this paper we discuss the existence of a control measure for a family of measures on a Boolean algebra. We obtain a necessary and sufficient condition and several related results, including a new criterion for weak compactness for additive set functions on an algebra of sets.
Cassese, G. (2019). Control measures on Boolean algebras. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 478(2), 764-775 [10.1016/j.jmaa.2019.05.053].
Control measures on Boolean algebras
Cassese, G
2019
Abstract
In this paper we discuss the existence of a control measure for a family of measures on a Boolean algebra. We obtain a necessary and sufficient condition and several related results, including a new criterion for weak compactness for additive set functions on an algebra of sets.
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