Probability on Hilbert space effect algebras
Abstract
In [5] an important example of an effect algebra (in other terminology a D-poset, see [1, 2]) has been constructed by linear positive operators on a Hilbert space. In the paper basic notions of probability theory are exposed and the central limit theorem is proved. Some similar results on D-lattices are known, but the effect algebra studied here need not be a lattice.
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PDFDOI: https://doi.org/10.2478/tatra.v52i0.189