Remarks on the order for quantum observables

Sylvia Pulmannová; Elena Vinceková

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 6, page [589]-600
  • ISSN: 0139-9918

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Pulmannová, Sylvia, and Vinceková, Elena. "Remarks on the order for quantum observables." Mathematica Slovaca 57.6 (2007): [589]-600. <http://eudml.org/doc/34672>.

@article{Pulmannová2007,
author = {Pulmannová, Sylvia, Vinceková, Elena},
journal = {Mathematica Slovaca},
keywords = {observable; self-adjoint operator; generalized effect algebra; (weak) generalized orthomodular poset; Riesz ideal; Mackey compatibility},
language = {eng},
number = {6},
pages = {[589]-600},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Remarks on the order for quantum observables},
url = {http://eudml.org/doc/34672},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Pulmannová, Sylvia
AU - Vinceková, Elena
TI - Remarks on the order for quantum observables
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 6
SP - [589]
EP - 600
LA - eng
KW - observable; self-adjoint operator; generalized effect algebra; (weak) generalized orthomodular poset; Riesz ideal; Mackey compatibility
UR - http://eudml.org/doc/34672
ER -

References

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  14. KADISON R., Order properties of bounded self-adjoint operators, Proc. Amer. Math. Soc. 34 (1951), 505-510. (1951) Zbl0043.11501MR0042064
  15. KOPKA F.-CHOVANEC F., D-posets, Math. Slovaca 44 (1994), 21-34. (1994) Zbl0789.03048MR1290269
  16. MAYET-IPPOLITO A., Generalized orthomodular posets, Demonstratio Math. 24 (1991), 263-274. (1991) Zbl0755.06006MR1142894
  17. OLSON P., The self-adjoint operators of a von Neumann algebra form a conditionally complete lattice, Proc. Amer. Math. Soc. 28 (1971), 537-543. (1971) 
  18. PULMANNOVÁ S.-VINCEKOVÁ E., Riesz ideals in generalized effect algebras and in their unitizations, Algebra Universalis (To appear). Zbl1139.81007MR2373250
  19. RIEČANOVÁ Z.-MARINOVÁ I., Generalized homogeneous, prelattice and MV-effect algebras, Kybernetika (Prague) 41 (2005), 129-142. MR2138764
  20. TOPPING D. M., Lectures on von Neumann Algebras, Van Nostrand, London, 1971. (1971) Zbl0218.46061

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