Quasi-states on $C\sp{\ast} $-algebras

J -00 if it exists, is called the expectation of the observable x in the state a. It is easily seen that the function pa defined on <B in this way is linear on each subset x = {/(*) : / Borel : R -> R}. Moreover, if xu x2e<3 are given, there exists at most one x3 e 6 satisfying pa(x3) = P(xi) + pa(x2)

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