Moment problem for effect algebras (Q1375581)

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.