A measure-theoretic characterization of Boolean algebras among orthomodular lattices
Pták, Pavel ; Pulmannová, Sylvia
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 205-208 / Harvested from Czech Digital Mathematics Library
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We investigate subadditive measures on orthomodular lattices. We show as the main result that an orthomodular lattice has to be distributive (=Boolean) if it possesses a unital set of subadditive probability measures. This result may find an application in the foundation of quantum theories, mathematical logic, or elsewhere.

Publié le : 1994-01-01
Classification:  03G12,  06C15,  28E15,  81P10 
@article{118654,
     author = {Pavel Pt\'ak and Sylvia Pulmannov\'a},
     title = {A measure-theoretic characterization of Boolean algebras  among orthomodular lattices},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {205-208},
     zbl = {0805.06010},
     mrnumber = {1292596},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118654}
}

Pták, Pavel; Pulmannová, Sylvia. A measure-theoretic characterization of Boolean algebras  among orthomodular lattices. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 205-208. http://gdmltest.u-ga.fr/item/118654/

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