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On states on the product of logics. (English) Zbl 0482.03030

MSC:
03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
06C15 Complemented lattices, orthocomplemented lattices and posets
06C20 Complemented modular lattices, continuous geometries
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References:
[1] Beltrametti, E. G., and Cassinelli, G. (1976). ”Logical and Mathematical Structures of Quantum Mechanics,”Rivista del Nuovo Cimento,6 (3), 321–404.
[2] Gudder, S. P. (1966). ”Uniqueness and Existence Properties of Bounded Observables,”Pacific Journal of Mathematics,19, 81–93, 588–589. · Zbl 0149.23603
[3] Maeda, F., and Maeda, S. (1970). ”Theory of Symmetric Lattices,” Springer-Verlag, Berlin. · Zbl 0219.06002
[4] von Neumann, J. (1955).Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton, New Jersey. · Zbl 0064.21503
[5] Ulam, S. (1930). ”Zur Masstheorie in der allgemeinen Mengenlehre,”Fundamenta Mathematicae,16, 140–150. · JFM 56.0920.04
[6] Varadarajan, V. S. (1968).Geometry of Quantum Theory. Van Nostrand, Princeton, New Jersey. · Zbl 0155.56802
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