MOMENT PROBLEM FOR EFFECT ALGEBRAS

We present a solution to the moment problem for effect algebras, conce rning mean values of all powers of an observable concentrated on the i nterval [0, 1] for states from a convex set. We give a solution for pa rticular examples, e.g., for the set of all effect operators. We exami ne how this problem is related to a so-called E-property. Finally, we give a solution for observables studied in the operational approach to physical theories.