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Conditioning maps on orthomodular lattices

Published online by Cambridge University Press:  18 May 2009

D. J. Foulis  and
C. H. Randall
D. J. Foulis
Affiliation:
The University of Massachusetts, Amherst, Massachusetts
C. H. Randall
Affiliation:
The University of Massachusetts, Amherst, Massachusetts
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 12 , Issue 1 , April 1971 , pp. 35 - 42
Copyright
Copyright © Glasgow Mathematical Journal Trust 1971

References

REFERENCES

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