Geodesic
Decomposition of group-valued measures on orthoalgebras
Fundamenta Mathematicae, Tome 158 (1998) no. 2, pp. 109-124.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present a general decomposition theorem for a positive inner regular finitely additive measure on an orthoalgebra $L$ with values in an ordered topological group $G$, not necessarily commutative. In the case where L is a Boolean algebra, we establish the uniqueness of such a decomposition. With mild extra hypotheses on $G$, we extend this Boolean decomposition, preserving the uniqueness, to the case where the measure is order bounded instead of being positive. This last result generalizes A. D. Aleksandrov's classical decomposition theorem.
DOI : 10.4064/fm-158-2-109-124

Paolo De Lucia 1 ; Pedro Morales 1

1 
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Paolo De Lucia; Pedro Morales. Decomposition of group-valued measures on orthoalgebras. Fundamenta Mathematicae, Tome 158 (1998) no. 2, pp. 109-124. doi : 10.4064/fm-158-2-109-124. http://geodesic.mathdoc.fr/articles/10.4064/fm-158-2-109-124/

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