Rings with effects
Quantum Physics
2007-05-23 v1
Abstract
A ring with effects (e-ring) is a generalization of the ring of bounded linear operators on a Hilbert space and the subsystem of effect operators (positive Hermitian operators dominated by the identity operator). The POV-measures representing (perhaps fuzzy) quantum mechanical observables take on their valued in the system of Hilbert-space effect operators. We study and give several examples of e-rings, including von Neumann algebras and rings of bounded measurable functions.
Cite
@article{arxiv.quant-ph/0609181,
title = {Rings with effects},
author = {D. J. Foulis},
journal= {arXiv preprint arXiv:quant-ph/0609181},
year = {2007}
}
Comments
20 pages