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.

Author Biographies

Zdenka Riečanová

Michal Zajac

Downloads

Published

2013-01-03

Issue

Section

Articles