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Non-commutative group valued measures on an orthomodular poset. (English) Zbl 0812.28008
The authors generalize some classical results for sequences of measures - - e.g., the Brooks-Jewitt theorem (“convergence and $$s$$-boundedness imply uniform $$s$$-boundedness”) and Cafiero’s characterization of uniform $$s$$-boundedness – to the case of finitely additive group-valued measures defined on an orthomodular poset, which satisfies the subsequential interpolation property. This property is weaker than $$\sigma$$-orthocompleteness.
Reviewer: H.Weber (Udine)

##### MSC:
 28B10 Group- or semigroup-valued set functions, measures and integrals 28A60 Measures on Boolean rings, measure algebras