Geodesic
A theorem about states on quantum logics. States on Jordan algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 465-468 
M. S. Matveichuk. A theorem about states on quantum logics. States on Jordan algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 465-468. http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a13/
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     author = {M. S. Matveichuk},
     title = {A~theorem about states on quantum logics. {States} on {Jordan} algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {465--468},
     year = {1983},
     volume = {57},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

States on the logic of projection operators of a continuous hyperfinite Jordan factor of self-adjoint operators are described.

[1] Gleason A. M., J. Math. Mech., 6:6 (1957), 885–893 | MR | Zbl

[2] Matveichuk M. S., TMF, 45:2 (1980), 244–250 | MR

[3] Matveichuk M. S., TMF, 48:2 (1981), 261–265 | MR

[4] Günaydin M., Piron C., Ruegg H., Commun. Math. Phys., 61:1 (1978), 69–85 | DOI | MR | Zbl

[5] Størmer E., Acta Math., 115:3–4 (1966), 165–184 | MR

[6] Gunson J., Ann. Inst. Henri Poincare, XVII:4 (1972), 295–311 | MR

[7] Christensen E., Commun. Math. Phys., 86 (1982), 529–538 | DOI | MR | Zbl