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On certain generalized probability domains. (English) Zbl 0267.28001


MSC:

28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
60B99 Probability theory on algebraic and topological structures
06C15 Complemented lattices, orthocomplemented lattices and posets
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References:

[1] SUPPES P.: The probabilistic argument for a non-classical logic of quantum mechanics. Philos. Sci. 33, 1966, 14 - 21.
[2] GUDDER S. P.: Quantum probability spaces. Proc. Amer. Math. Soc. 21. 1969, 296 - 302. · Zbl 0183.28703 · doi:10.2307/2036988
[3] NEUBRUNN T.: A note on quantum probability spaces. Proc. Amer. Math. Soc. 25, 1970, 672-675. · Zbl 0208.43402 · doi:10.2307/2036668
[4] VARADAJAN V. S.: Probability in physics and a theorem on simultaneous observability. Comm. Pure Appl. Math. 15, 189-217; correction, loc. cit. 18, 1965.
[5] HALMOS P. R.: Measure theory. New York 1950. · Zbl 0040.16802
[6] GUDDER S. P.: On the quantum logic approach to quantum mechanics. Commun. Math. Phys. 12, 1989, 1-15. · Zbl 0169.56702 · doi:10.1007/BF01646431
[7] SIKORSKI R.: On the representation of Boolean algebras as fields of sets. Fund, math. 35, 1948, 247 - 258. · Zbl 0035.01704
[8] BIRKHOFF G.: Lattice theory. New York 1948. · Zbl 0033.10103
[9] FRINK O.: Pseudocomplements in semi-lattices. Duke Math. J. 29, 1962, 505-514. · Zbl 0114.01602 · doi:10.1215/S0012-7094-62-02951-4
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