Abstract
We present a solution to the moment problem for effect algebras, concerning mean values of all powers of an observable concentrated on the interval [0, 1] for states from a convex set. We give a solution for particular examples, e.g., for the set of all effect operators. We examine how this problem is related to a socalled E-property. Finally, we give a solution for observables studied in the operational approach to physical theories.
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Duchoň, M., Dvurečenskij, A. & de Lucia, P. Moment problem for effect algebras. Int J Theor Phys 36, 1941–1958 (1997). https://doi.org/10.1007/BF02435950
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DOI: https://doi.org/10.1007/BF02435950