Probability on Hilbert space effect algebras

Miloslav Duchoň; Beloslav Riečan

doi:10.2478/v10127-012-0034-8

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Probability on Hilbert space effect algebras

Tatra Mountains Mathematical Publications

Volume 52 (2012): Issue 1 (August 2012)

By: Miloslav Duchoň and Beloslav Riečan

Open Access

|Nov 2012

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-012-0034-8 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 141 - 151

Published on: Nov 19, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

D-poset,

effect algebra,

Hilbert space,

linear positive operators,

central limit theorem.

Related subjects:

Mathematics,

General mathematics

© 2012 Miloslav Duchoň, Beloslav Riečan, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 52 (2012): Issue 1 (August 2012)