On joint distribution in quantum logics. I. Compatible observables
Dvurečenskij, Anatolij
Applications of Mathematics, Tome 32 (1987), p. 427-435 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 1987-01-01
Classification:  03G12,  28A60,  81B10,  81P10
@article{104274,
     author = {Anatolij Dvure\v censkij},
     title = {On joint distribution in quantum logics. I. Compatible observables},
     journal = {Applications of Mathematics},
     volume = {32},
     year = {1987},
     pages = {427-435},
     zbl = {0654.03050},
     mrnumber = {0916059},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104274}
}
Dvurečenskij, Anatolij. On joint distribution in quantum logics. I. Compatible observables. Applications of Mathematics, Tome 32 (1987) pp. 427-435. http://gdmltest.u-ga.fr/item/104274/

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