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Measures on orthomodular partially ordered sets. (English) Zbl 0507.06008


MSC:

06C15 Complemented lattices, orthocomplemented lattices and posets
28A60 Measures on Boolean rings, measure algebras
81P20 Stochastic mechanics (including stochastic electrodynamics)
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[1] Gleason, A., Measures on closed subspaces of a Hilbert space, J. math. mechanics, 6, 428-442, (1965)
[2] Greechie, R., Orthomodular lattices admitting no states, J. comb. theory, 10, 119-132, (1971) · Zbl 0219.06007
[3] Gudder, S.; Gudder, S., Uniqueness and existence properties of bounded observables, Pacific J. math., Pacific J. math., 19, 578-589, (1966) · Zbl 0149.23603
[4] Gedder, S., Axiomatic quantum mechanics and generalized probability theory, ()
[5] Gudder, S., Stochastic methods in quantum mechanics, (1979), North-Holland New York · Zbl 0439.46047
[6] Mañasova, V.; Pták, P., On states on the product of logics, Internat. J. theor. physics, 451-456, (1981) · Zbl 0482.03030
[7] Pták, P., Weak dispersion-free states on logics and the hidden-variables hypothesis, J. math. physics, (1982), to appear
[8] Pták, P.; Rogalewicz, V., Regularly full logics and the uniqueness problem for observables, Ann. inst. H. Poincaré, (1982), to appear
[9] Shultz, F.W., A characterization of state spaces of orthomodular lattices, J. comb. theory ser. A, 17, 317-325, (1974)
[10] Varadarajan, V.S., Geometry of quantum theory I, (1968), Van Nostrand-Reinhold Princeton, NJ · Zbl 0155.56802
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