Probability on Hilbert space effect algebras
Duchoň, Miloslav ; Riečan, Beloslav
Tatra Mountains Mathematical Publications, Tome 51 (2012), / Harvested from Mathematical Institute
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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.

Publié le : 2012-01-01
DOI : https://doi.org/10.2478/tatra.v52i0.189 
@article{189,
     title = {Probability on Hilbert space effect algebras},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {51},
     year = {2012},
     doi = {10.2478/tatra.v52i0.189},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/189}
}

Duchoň, Miloslav; Riečan, Beloslav. Probability on Hilbert space effect algebras. Tatra Mountains Mathematical Publications, Tome 51 (2012) . doi : 10.2478/tatra.v52i0.189. http://gdmltest.u-ga.fr/item/189/