Geodesic
Conditioning maps on orthomodular lattices
Glasgow mathematical journal, Tome 12 (1971) no. 1, pp. 35-42

Voir la notice de l'article provenant de la source Cambridge University Press

Let (χ Σ, μ) be a probability space, so that X is a non-empty set, Σ is a Boolean a-algebra of subsets of X, and μ is a probability measure defined on Σ. If D Ε S is such that μ(D)≠0, then one traditionally associates with D a new probability measure μD, called the conditional probability measure determined by D, and defined by μD(E)= μ(D∩E)/μ(D), for all EΕΣ. 
Foulis, D. J.; Randall, C. H. Conditioning maps on orthomodular lattices. Glasgow mathematical journal, Tome 12 (1971) no. 1, pp. 35-42. doi: 10.1017/S0017089500001129
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[1] 1.Birkhoff, G., Lattice Theory, Amer. Math. Soc. Colloquium Pub. XXV (Providence, R. I., 1967). Google Scholar

[2] 2.Dacey, J. C. Jr, Orthomodular Spaces, Ph. D. Thesis, Univ. of Mass., Amherst, Mass., 1968. Google Scholar

[3] 3.Derderian, J. C., Residuated mappings, Pacific J. Math. 20 (1967), 35–43. Google Scholar | DOI

[4] 4.Foulis, D. J., A note on orthomodular lattices, Portugaliae Math. 21, Fasc. 1 (1962), 65–72. Google Scholar

[5] 5.Foulis, D. J. and Randall, C. H., Lexicographic orthogonality (to appear in J. Combinatorial Theory). Google Scholar

[6] 6.Pool, J. C. T., Baer *-semigroups and the logic of quantum mechanics, Commitn. Math. Phys. 9 (1968), 118–141. Google Scholar | DOI

[7] 7.Randall, C. H., A Mathematical Foundation for Empirical Science with Special Reference to Quantum Theory, Knolls Atomic Power Lab. Report KAPL-3147 (1966). Google Scholar

[8] 8.Randall, C. H. and Foulis, D. J., An approach to empirical logic, Amer. Math. Monthly 11 (1970), 363–374. Google Scholar | DOI

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