Characterizations of Commutative POV Measures

Foundations of Physics 39 (6):613-624 (2009)
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Abstract

Two different characterizations of POV measures with commutative range are compared using a representation of some stochastic operators by (weak) Markov kernels. A representation by Choquet theorem is obtained as an integral over functions of a sharp observable appearing in one of the characterizations. A Naimark extension is constructed

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