dorsal/arxiv
View SchemaRings with effects
| Authors | D. J. Foulis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609181 |
| URL | https://arxiv.org/abs/quant-ph/0609181 |
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.
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"abstract": "A ring with effects (e-ring) is a generalization of the ring of bounded\nlinear operators on a Hilbert space and the subsystem of effect operators\n(positive Hermitian operators dominated by the identity operator). The\nPOV-measures representing (perhaps fuzzy) quantum mechanical observables take\non their valued in the system of Hilbert-space effect operators. We study and\ngive several examples of e-rings, including von Neumann algebras and rings of\nbounded measurable functions.",
"arxiv_id": "quant-ph/0609181",
"authors": [
"D. J. Foulis"
],
"categories": [
"quant-ph"
],
"title": "Rings with effects",
"url": "https://arxiv.org/abs/quant-ph/0609181"
},
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