Effect algebra counterexamples
Stanley P. Gudder; Richard Greechie
Mathematica Slovaca (1996)
- Volume: 46, Issue: 4, page 317-325
- ISSN: 0232-0525
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topGudder, Stanley P., and Greechie, Richard. "Effect algebra counterexamples." Mathematica Slovaca 46.4 (1996): 317-325. <http://eudml.org/doc/31741>.
@article{Gudder1996,
author = {Gudder, Stanley P., Greechie, Richard},
journal = {Mathematica Slovaca},
keywords = {effect algebra; D-poset; lattice; tensor product},
language = {eng},
number = {4},
pages = {317-325},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Effect algebra counterexamples},
url = {http://eudml.org/doc/31741},
volume = {46},
year = {1996},
}
TY - JOUR
AU - Gudder, Stanley P.
AU - Greechie, Richard
TI - Effect algebra counterexamples
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 4
SP - 317
EP - 325
LA - eng
KW - effect algebra; D-poset; lattice; tensor product
UR - http://eudml.org/doc/31741
ER -
References
top- AERTS D., DAUBECHIES I., Physical justification of using tensor products to describe physical systems as one joint system, Helv. Phys. Acta 51 (1978), 661 675. (1978) MR0542798
- CATTANEO G., NISTICO G., Brouwer-Zadeh posets and three-valued Lukasiewicz posets, Internat. J. Fuzzy. Sets Sys. 33 (1989), 165-190. (1989) Zbl0682.03036MR1024221
- DAVIES E. B., Quantum Theory of Open Systems, Academic Press, London, 1976. (1976) Zbl0388.46044MR0489429
- DAVIES E. B.-LEWIS J. T., An operational approach to quantum probability, Comm. Math. Phys. 17 (1970), 239-260. (1970) Zbl0194.58304MR0263379
- DVUREČENSKIJ A., Tensor product of difference posets, Trans. Ameг. Math. Soc. 347 (1995), 1043-1057. (1995) Zbl0859.03031MR1249874
- DVUREČENSKIJ A., PULMANNOVÁ S., Tensor products of D-posets and D-test spaces, Rep. Math. Phys. 34 (1994), 4251-4275. (1994) Zbl0830.03031MR1339465
- FOULIS D., Coupled physical systems, Found. Phys. 19 (1989), 905-922. (1989) MR1013911
- FOULIS D., BENNETT M. K., Tensor products of orthoalgebras, Order 10 (1993). 271-282. (1993) Zbl0798.06015MR1267193
- FOULIS D., BENNETT M. K., Effect algebras and unsharp quantum logics, Found. Phys. 24 (1994), 1325-1346. (1994) Zbl1213.06004MR1304942
- GIUNTINI R. GREULING H., Toward a formal language for unsharp properties, Found. Phys. 19 (1989), 931-945. (1989) MR1013913
- GREECHIE R., Orthomodular lattices admitting no states, J. Combin. Theory 10 (1971). 119-132. (1971) Zbl0219.06007MR0274355
- HOLEVO A. S., Probabilistic and Statistical Aspects of Quantum Theory, . North-Holland. Amsterdam, 1982. (1982) Zbl0497.46053MR0681693
- KADISON R., Order properties of bounded, self-adjoint operators, Proc. Amer. Math. Soc. 34 (1951), 505-510. (1951) Zbl0043.11501MR0042064
- KAKUTANI S., Concrete representatum of abstract (M)-spaces, Ann. of Math. 42 ( 1941). 994 1024. (1941) MR0005778
- KLÄY M., RANDALL C., FOULIS D., Tensor products and probability weights, Internat. J. Theoret. Phys. 26 (1987), 199-216. (1987) Zbl0641.46049MR0892411
- KRAUS K., States, Effects, and Operations, Springer-Verlag, Berlin. 1983. (1983) Zbl0545.46049MR0725167
- KOPKA F., CHOVANEC F., D-posets, Math. Slovaca 44 (1994), 21-34. (1994) Zbl0789.03048MR1290269
- LAHTI P. J.-MACZYNSKI M. J., Partial order of quantum effects, J. Math. Phys. 36 (1995), 1673-1680. (1995) Zbl0829.46060MR1322660
- LOCK R., The tensor product of generalized sample spaces which admit a unital set of dispersion-free weights, Found. Phys. 20 (1990), 477-498. (1990) MR1060619
- LUDWIG G., Foundations of Quantum Mechanics I, Springer-Verlag, Berlin, 1983. (1983) Zbl0509.46057MR0690770
- PULMANNOVA S., Tensor products of quantum logics, J. Math. Phys. 26 (1985), 1-5. (1985) MR0776118
- WILCE A., Tensor products of frame manuals, Internat. J. Theoret. Phys. 29 (1990), 805-814. (1990) MR1070453
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