Intervals in Generalized Effect Algebras and their Sub-generalized Effect Algebras
Keywords:generalized effect algebra, effect algebra, Hilbert space, densely defined linear operators, embedding, positive operators valued state
AbstractWe 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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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