Intervals in Generalized Effect Algebras and their Sub-generalized Effect Algebras

Zdenka Riečanová; Michal Zajac

doi:10.14311/1817

Intervals in Generalized Effect Algebras and their Sub-generalized Effect Algebras

Authors

Zdenka Riečanová
Michal Zajac

DOI:

https://doi.org/10.14311/1817

Keywords:

generalized effect algebra, effect algebra, Hilbert space, densely defined linear operators, embedding, positive operators valued state

Abstract

We consider subsets G of a generalized effect algebra E with 0∈G and such that every interval [0, q]_G = [0, q]_E∩ G of G (q ∈ G , q ≠ 0) is a sub-effect algebra of the effect algebra [0, q]_E. We give a condition on E and G under which every such G is a sub-generalized effect algebra of E.

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Author Biographies

Zdenka Riečanová

Michal Zajac

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Published

2013-01-03

How to Cite

Riečanová, Z., & Zajac, M. (2013). Intervals in Generalized Effect Algebras and their Sub-generalized Effect Algebras. Acta Polytechnica, 53(3). https://doi.org/10.14311/1817