Foundations of Physics

, Volume 30, Issue 10, pp 1679–1686 | Cite as

On the Joint Distribution of Observables

  • Beloslav Riečan


A general algebraic system M is considered with two binary operations. The family of all measurable functions with values in the unit interval is a motivating example. A state is a morphism from M to the unit interval, an observable is a morphism from the family of Borel sets to M. A joint distribution of two observables is constructed. It is applied for the construction of the sum of observables and for a representation of conditional probability.


Conditional Probability Measurable Function Joint Distribution Binary Operation Algebraic System 
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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • Beloslav Riečan
    • 1
    • 2
  1. 1.Department of Mathematics, Faculty of Natural SciencesMatej Bel UniversityBanska BystricaSlovakia
  2. 2.Mathematical InstituteSlovak Academy of SciencesBratislavaSlovakia;

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