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On a sum of observables in a logic. (English) Zbl 0435.03040

MSC:
03G12 Quantum logic
81P20 Stochastic mechanics (including stochastic electrodynamics)
06B99 Lattices
28A33 Spaces of measures, convergence of measures
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References:
[1] DRAVECKÝ J., ŠÍPOŠ J.: Nonadditivity of the Gudder mean value of observable quantities. Probasta\? 77, ÚMMT SAV Bratislava.
[2] GÖTZ A.: O odpowiednikach pojecia funkcji punktu w cialach Boole’a. Prace matematyczne, 1, 1955, 145-161.
[3] GUDDER S. P.: Spectral methods for a generalized probability theory. Transact. M.A.S., 119, 1965, 428-442. · Zbl 0161.46105
[4] GUDDER S. P.: Uniqueness and existence properties of bounded observables. Pac. J. Math., 19, 1966, 81-93. · Zbl 0149.23603
[5] GUDDER S. P.: Generalized measure theory. Found. of Phys., 3, 1973, 399-411.
[6] SIKORSKI R.: Boolean algebras. Springer 1960. · Zbl 0087.02503
[7] VARADARAJAN V. S.: Probability in physics and a theorem on simultaneous observability. Comm. Pure appl. Math., 15, 1962, 189-217. · Zbl 0109.44705
[8] VARADARAJAN V. S.: Geometry of quantum theory. New York 1968. · Zbl 0155.56802
[9] ZIERLER N.: Axioms for non-relativistic quantum mechanics. Pac. J. Math., 11, 1961, 1151-1169. · Zbl 0138.44503
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