Quantum logics representable as kernels of measures
Czechoslovak Mathematical Journal, Tome 46 (1996) no. 4, pp. 587-597
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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DOI : 10.21136/CMJ.1996.127321
Classification : 03G12, 81P10
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Navara, Mirko. Quantum logics representable as kernels of measures. Czechoslovak Mathematical Journal, Tome 46 (1996) no. 4, pp. 587-597. doi: 10.21136/CMJ.1996.127321

[1] Binder, J.: A Loomis-Sikorski theorem for logics. Math. Slovaca 38 (1988), 367–371. | MR | Zbl

[2] Drossos, C.A.: Boolean methods and Pták’s sum. (to appear). | Zbl

[3] Grätzer, G.: Universal Algebra. Springer-Verlag, New York/Heidelberg/Berlin, 1979. | MR

[4] Gudder, S.P., Zerbe, J.: Generalized monotone convergence and Radon-Nikodym theorems. J. Math. Physics 22 (1981), 2553–2561. | DOI | MR

[5] Janowitz, M.F.: Constructible lattices. J. Austr. Math. Soc. 14 (1972), 311–316. | DOI | MR | Zbl

[6] Kalmbach, G.: Orthomodular Lattices. Academic Press, London, 1983. | MR | Zbl

[7] Mayet-Ippolito, A.: Generalized orthomodular posets. Demonstratio Math. 24 (1991), 263–274. | MR | Zbl

[8] Müller, V.: Jauch-Piron states on concrete quantum logics. Int. J. Theor. Phys. 32 (1993), 433–442. | DOI | MR

[9] Müller, V., Pták, P., Tkadlec, J.: Concrete quantum logics with covering properties. Int. J. Theor. Phys. 31 (1992), 843–854. | DOI | MR

[10] Navara, M.: When is the integral on quantum probability spaces additive? Real Analysis Exchange 14 (1989), 228–234. | DOI | MR | Zbl

[11] Navara, M., Pták, P.: Almost Boolean orthomodular posets. J. Pure Appl. Algebra 60 (1989), 105–111. | DOI | MR

[12] Olejček, V.: Generation of a q-$\sigma $-algebra in the plane. Proc. Conf. Topology and Measure V, Greifswald, 1988, pp. 121–125.

[13] Pták, P.: Summing of Boolean algebras and logics. Demonstratio Math. 19 (1986), 349–358. | MR

[14] Pták, P.: FAT $\leftrightarrow $ CAT (in the state space of quantum logics). Proc. 1st Winter School on Measure Theory, Liptovský Ján, 1988, pp. 113–118. | MR | Zbl

[15] Pták, P., Pulmannová, S.: Orthomodular Structures as Quantum Logics. Kluwer Academic Publishers, Dordrecht/Boston/London, 1991. | MR

[16] Rüttimann, G.T.: Jauch-Piron states. J. Math. Phys. 18 (1977), 189–193. | MR

[17] Sikorski, R.: Boolean Algebras. Springer-Verlag, Berlin, 1969. | MR | Zbl

[18] Suppes, P.: The probabilistic argument for a nonclassical logic of quantum mechanics. Philos. Sci. 33 (1966), 14–21. | DOI | MR

[19] Zerbe, J.E., Gudder, S.P.: Additivity of integrals on generalized measure spaces. J. Comb. Theory (A) 30 (1985), 42–51. | DOI | MR

[20] Zierler, N., Schlessinger, M.: Boolean embeddings of orthomodular sets and quantum logic. Duke Math. J. 32 (1965), 251–262. | DOI | MR

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