Probability Weights and Measures on Finite Effect Algebras

Author: Foulis D.J.   Greechie R.J.  

Publisher: Springer Publishing Company

ISSN: 0020-7748

Source: International Journal of Theoretical Physics, Vol.38, Iss.12, 1999-12, pp. : 3189-3208

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Abstract

We study probability weights and measures on finite effect algebras, thus generalizing the existing theory for orthomodular posets and orthoalgebras. Our development proceeds somewhat more generally in that we study weights and measures associated with an antichain in the positive cone of a euclidean vector space with the standard partial ordering.