Abstract

Let M be a W * -algebra on a JBW-algebra. A (finitely additive) quantum measure on M is a non-negative real valued function μ on the projections on M which satisfies the property μ(p 1 +...p n )=μ(p 1 )+...+μ(p n ), μ(1)=1 whenever p 1 ,...,p n are orthogonal projections of M

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