no. 1
Quantum logics, vector-valued measures and representations
Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 1, pp. 83-95. 
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     title = {Quantum logics, vector-valued measures and representations},
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     pages = {83--95},
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     number = {1},
     year = {1990},
     mrnumber = {1077466},
     zbl = {0742.46030},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1990__53_1_83_0/}
}
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Pulmannová, Sylvia; Dvurečenskij, Anatolij. Quantum logics, vector-valued measures and representations. Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 1, pp. 83-95. http://www.numdam.org/item/AIHPA_1990__53_1_83_0/

[1] A. Alfsen, F. Shultz and E. Stormer, A Gelfand-Neumark theorem for Jordan algebras, Adv. Math., Vol. 28, 1978, pp. 11-56. | MR | Zbl

[2] E. Beltrametti and G. Cassinelli, The logic of quantum mechanics, Addison-Wesley, Reading, Mass., 1981. | MR | Zbl

[3] G. Birkhoff, Lattice theory (Russian translation: Teorija rešetok) Nauka, Moscow, 1984. | MR

[4] O. Bratteli and D. Robinson, Operator algebras and quantum statistical mechanics (Russian translation: Operatornyje algebry i kvantovaja statističeskaja mechanika) Mir, Moscow, 1982. | MR | Zbl

[5] E. Christensen, Measures on projections and physical states, Commun. Math. Phys., Vol. 86, 1982, pp. 529-538. | MR | Zbl

[6] A. Dvurečenskij, On convergences of signed states, Math. Slovaca, Vol. 28, 1978, pp. 289-295. | MR | Zbl

[7] A. Dvurečenskij and S. Pulmannová, Random measures on a logic, Demonstratio Math., Vol. 14, 1981, pp. 305-320. | MR | Zbl

[8] A. Dvurečenskij and S. Pulmannova, On joint distributions of observables, Math. Slovaca, Vol. 32, 1982, pp. 155-166. | MR | Zbl

[9] A. Dvurečenskij and S. Pulmannova, State on splitting subspaces and completeness of inner product spaces, Int. J. Theor. Phys., Vol. 27, 1988, pp. 1059-1067. | MR | Zbl

[10] R. Greechie, Orthomodular lattices admitting no states, J. Combinat. Theor., Vol. 10, 1971, pp. 119-132. | MR | Zbl

[11] S. Gudder, Uniqueness and Existence properties of bounded observables, Pac. J. Math., Vol. 19, 81-95, 1966, pp. 588-589. | MR | Zbl

[12] J. Hamhalter, States on W*-algebras and orthogonal vector measures, Preprint ČVUT Praha, 1989. | MR

[13] J. Hamhalter and P. Pták, Hilbert-space valued states on quantum logics, Preprint ČVUT Praha, 1989. | MR

[14] R. Jajte and A. Paszkiewicz, Vector measures on closed subspaces of a Hilbert space, Studia Math., Vol. 58, 1978, pp. 229-251. | MR | Zbl

[15] R. Kadison and J. Ringrose, Fundamentals of the theory of operator algebras, Vol. I, Acad. Press, New York, 1983. | MR | Zbl

[16] P. Kruszynski, Vector measures on orthocomplemented lattices, Math. Proc., Vol. A91 , 1988, pp. 427-442. | MR | Zbl

[17] M. Loeve, Probability theory (Russian translation: Teorija rešetok), Izd. Inostr. Lit., Moskva, 1962. | MR

[18] M.C. Matveichuk, Opisanije konečnych mer v polokonečnych algebrach, Funkcional. Analiz Priloženija, Vol. 15, 1981, pp. 41-53.

[19] R. Mayet, Classes équationelles et équations liées aux états à valeurs dans un espace de Hilbert, Thèse Docteur d'État ès Sciences, Université Claude-Bernard - Lyon, France, 1987.

[20] A. Paszkiewicz, Measures on projections of von Neumann algebras, J. Funct. Anal., Vol. 62, 1985, pp. 87-117. | MR

[21] V.S. Varadarajan, Geometry of quantum theory, Springer, New York, 1985. | MR | Zbl

[22] F. Yeadon, Measures on projections in W*-algebras of type II, Bull. London Math. Soc., Vol. 15, 1983, pp. 139-145. | MR | Zbl