<abstract xmlns="http://www.w3.org/1999/xhtml"><p> An important example of an effect algebra (in other terminology a D-poset) 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.</p></abstract>

An important example of an effect algebra (in other terminology a D-poset) 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.

Probability on Hilbert space effect algebras

Mathematical Institute Slovak Academy of Sciences Štefánikova  49 SK–814-73 Bratislava SLOVAKIA

Faculty of Natural Sciences Matej Bel University Tajovského 40 SK-974-01 Banská Bystrica SLOVAKIA

Tatra Mountains Mathematical Publications

{"article-title":"Probability on Hilbert space effect algebras"}

An important example of an effect algebra (in other terminology a D-poset) has been constructed by linear positive operators on a Hilbert space. In the paper...

Probability on Hilbert space effect algebras

Published Online: Nov 19, 2012

Page range: 141 - 151

DOI: https://doi.org/10.2478/v10127-012-0034-8

Keywords
D-poset, effect algebra, Hilbert space, linear positive operators, central limit theorem.

This content is open access.

Probability on Hilbert space effect algebras

Published Online: Nov 19, 2012

Page range: 141 - 151

DOI: https://doi.org/10.2478/v10127-012-0034-8

KeywordsD-poset, effect algebra, Hilbert space, linear positive operators, central limit theorem.

This content is open access.

Keywords
D-poset, effect algebra, Hilbert space, linear positive operators, central limit theorem.