Geodesic
On joint distribution in quantum logics. I. Compatible observables
Applications of Mathematics, Tome 32 (1987) no. 6, pp. 427-435.

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The notion of a joint distribution in $\sigma$-finite measures of observables of a quantum logic defined on some system of $\sigma$-independent Boolean sub-$\sigma$-algebras of a Boolean $\sigma$-algebra is studied. In the present first part of the paper the author studies a joint distribution of compatible observables. It is shown that it may exists, although a joint obsevable of compatible observables need not exist.
DOI : 10.21136/AM.1987.104274
Classification : 03G12, 28A60, 81B10, 81P10
Keywords: compatibility; orthomodular poset; observables; joint distribution; measure; quantum logic 
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     author = {Dvure\v{c}enskij, Anatolij},
     title = {On joint distribution in quantum logics. {I.} {Compatible} observables},
     journal = {Applications of Mathematics},
     pages = {427--435},
     publisher = {mathdoc},
     volume = {32},
     number = {6},
     year = {1987},
     doi = {10.21136/AM.1987.104274},
     mrnumber = {0916059},
     zbl = {0654.03050},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104274/}
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Dvurečenskij, Anatolij. On joint distribution in quantum logics. I. Compatible observables. Applications of Mathematics, Tome 32 (1987) no. 6, pp. 427-435. doi : 10.21136/AM.1987.104274. http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104274/

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