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References:
[1] CATLIN D. E.: Spectral theory in quantum logics. Int. J. of Theor. Physics, 1, 1968, 3-16. MR 0239833
[2] DOOB J. L.: Stochastic Processes. London, 1953. MR 0058896 | Zbl 0053.26802
[3] DVUREČENSKIJ A., PULMANNOVÁ S.: On the sum of observables in a logic. Math. Slovaca 30, 1980, 393-399. MR 0595300 | Zbl 0454.03030
[4] GUDDER S. P.: Hilbert space, independence, and generalized probability. J. of Math. Analysis and Applications 20, 1961, 48-61. MR 0222924
[5] GUDDER S. P.: Spectral methods for a generalized probability theory. Trans. AMS 119, 1965, 428-442. MR 0183657 | Zbl 0161.46105
[6] GUDDER S. P.: Uniqueness and existence properties of bounded observables. Pac. J. of Math. 19, 1966, 81-93, 588-590. MR 0201146 | Zbl 0149.23603
[7] GUDDER S. P.: Generalized measure theory. Found. Physics 3, 1973, 399-411. MR 0522332
[8] GUDDER S. P., MULLIKIN H. C.: Measure theoretic convergences of observables and operators. J. Math. Phys. 14, 1973, 234-242. MR 0334747
[9] GUDDER S. P.: Expectation and transition probability. Int. J. of Theor. Physics 20, 1981, 383-395. MR 0630220 | Zbl 0483.03041
[10] GUDDER S. P., ZERBE J.: Generalized monotone convergence and Radon-Nikodym theorems. J. Math. Phys. 22, 1981, 2553-2561. MR 0640666 | Zbl 0467.60003
[11] HALMOS P. R.: Measure Theory. New Yoгk, 1950. MR 0033869 | Zbl 0040.16802
[12] HARMAN B., RIEČAN B.: Martingale convergence in q.m. logic. Trans. 9th Prague Conf. on Inf. Theory, Prague 1983.
[13] LOOMIS S.: On the repгesentation of σ-complete Boolean algebras. Bull. AMS. 53, 1947, 757-760. MR 0021084
[14] NÁNÁSIOVÁ O., PULMANNOVÁ S.: Relative conditional expectations on a logic. Aplikace matematiky 30, 1985, 332-350. MR 0806831 | Zbl 0585.60003
[15] NEUBRUNN T., RIEČAN B.: Miera a integral. VEDA, Bratislava, 1981. MR 0657765
[16] PTÁK P.: Spaces of observables. Czechoslovak Math. Journal 34, 1984, 552-561. MR 0764437 | Zbl 0572.28007
[17] PULMANNOVÁ S.: Compatibility and partial compatibility in quantum logics. Ann. Inst. H. Poincaré 34, 1981, 391-403. MR 0625170
[18] NEUBRUNN T., PULMANNOVÁ S.: On compatibility in quantum logic. Acta Math. Univ. Comenian XLII-XLIII, 1984, 153-168. MR 0740744
[19] SHU-TEN CHEN MOY: Characterization of conditional expectation as a transformation space. Pacif. J. Math. 4, 1954, 47-64. MR 0060750
[20] VARADARAJAN V.: Geometry of quantum theory 1. Von Nonstrand 1968.
[21] ZIERLER N.: Order properties of bounded observables. Proc. AMS 14, 1963, 346-351. MR 0145863 | Zbl 0135.44303
[22] SIKORSKI R.: Boolean Algebras. New York, Springer-Verlag. 1969. MR 0242724 | Zbl 0191.31505
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