
handle: 11567/380474
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 \(\sigma\)-subalgebras is examined.
Free probability and free operator algebras, Complemented lattices, orthocomplemented lattices and posets, Noncommutative measure and integration, probability on an orthomodular lattice, Probabilistic measure theory, Noncommutative probability and statistics, non-commutative probability theory, von Neumann algebra
Free probability and free operator algebras, Complemented lattices, orthocomplemented lattices and posets, Noncommutative measure and integration, probability on an orthomodular lattice, Probabilistic measure theory, Noncommutative probability and statistics, non-commutative probability theory, von Neumann algebra
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