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Moment problem for effect algebras. (English) Zbl 0889.03056
The classical moment problem considers the question whether for a given sequence $$a_0,a_1,a_2,\ldots$$ of non-negative reals there does exist a probability measure $$\mu$$ on the Borel subsets of $$[0,1]$$ such that $$a_n=\int\limits_0^1t^nd\mu(t)$$ for all non-negative integers $$n$$. A generalized version of this problem is investigated in effect algebras and also for so-called generalized observables. Some solutions are presented. The relation to a certain property, the so-called E-property, is established.
Reviewer: H.Länger (Wien)

##### MSC:
 03G12 Quantum logic 81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
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