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Quantum Measurements and Kolmogorov's Theory of Probability
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 436-443
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A connection between the probability space measurability requirement and the complementarity principle in quantum mechanics is established. It is shown that measurability of the probability space implies that the results of the quantum measurement depend not only on properties of the quantum object under consideration but also on classical characteristics of the measuring instruments used. It is also shown that if the measurability requirement is taken into account, then the hypothesis that the objective reality exists does not lead to the Bell inequality.
Keywords: measurability of space, quantum measurement, Bell inequality. 
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D. A. Slavnov. Quantum Measurements and Kolmogorov's Theory of Probability. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 436-443. http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a5/

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