Conditional probabilities on orthomodular lattices |
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Authors: | G Cassinelli P Truini |
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Institution: | Instituto di Scienze Fisiche dell'' Universitá di Genova, Genova, Italy;Scuola di Perfezionamento in Fisica dell'' Universitá di Genova, Italy |
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Abstract: | A definition of generalized probability on an orthomodular lattice which includes as particular cases the classical probability space and non-commutative probability theory on a von Neumann algebra is proposed. In this generalized structure the problem of conditioning with respect to Boolean σ-subalgebras is examined. |
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