Spaces of observables

Pavel Pták

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 4, page 552-561
  • ISSN: 0011-4642

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Pták, Pavel. "Spaces of observables." Czechoslovak Mathematical Journal 34.4 (1984): 552-561. <http://eudml.org/doc/13479>.

@article{Pták1984,
author = {Pták, Pavel},
journal = {Czechoslovak Mathematical Journal},
keywords = {quantum logic; linear and topological structure; orthomodular poset; sets of observables; compact observables},
language = {eng},
number = {4},
pages = {552-561},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Spaces of observables},
url = {http://eudml.org/doc/13479},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Pták, Pavel
TI - Spaces of observables
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 4
SP - 552
EP - 561
LA - eng
KW - quantum logic; linear and topological structure; orthomodular poset; sets of observables; compact observables
UR - http://eudml.org/doc/13479
ER -

References

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  1. G. Birkhoff, J. von Neumann, 10.2307/1968621, Annals of Mathematics, 37 (1936), 823-843. (1936) Zbl0015.14603MR1503312DOI10.2307/1968621
  2. J. Brabec, Compatibility in orthomodular posets, Čas. pěst. mat., 104 (1979), 149-153. (1979) Zbl0416.06004MR0531926
  3. J. Brabec, On some mappings generating vector L-measures, Čas. pěst. mat. 106, (1981), 347-353. (1981) Zbl0482.28017MR0637812
  4. J. Brabec, P. Pták, 10.1007/BF00736849, Foundations of Physics 72, No. 2, (1982), 207-212. (1982) MR0659779DOI10.1007/BF00736849
  5. R. Greechie, 10.1016/0097-3165(71)90015-X, Journ. Comb. Theory 10, (1971), 119-132. (1971) Zbl0219.06007MR0274355DOI10.1016/0097-3165(71)90015-X
  6. S. Gudder, 10.1090/S0002-9947-1965-0183657-6, Trans. Amer. Math. Soc. 119, (1966), 428-442. (1966) MR0183657DOI10.1090/S0002-9947-1965-0183657-6
  7. S. Gudder, Stochastic Methods in Quantum Mechanics, Elsevier North Holland, Inc., 1979. (1979) Zbl0439.46047MR0543489
  8. K. Kuratowski, Topology I, Academic Press, 1966. (1966) MR0217751
  9. T. Neubrunn S. Pulmannovd, Compatibility in quantum logics, to appear in Acta Fac. Rev. Natur. Univ. Comen. Math. 1982. (1982) MR0659779
  10. T. Neubrunn, 10.1090/S0002-9939-1970-0259056-2, Proc. Amer. Math. Soc. 25, no. 3, 1970, 672-675. (1970) MR0259056DOI10.1090/S0002-9939-1970-0259056-2
  11. P. Pták, An observation on observables, to appear in Acta Polytechnica 1984. (1984) MR0936050
  12. P. Pták, 10.1112/jlms/s2-23.3.534, J. London Math. Soc. 2, 23, (1981), 534-536. (1981) MR0616560DOI10.1112/jlms/s2-23.3.534
  13. P. Pták, V. Rogalewicz, Regularly full logics and the uniqueness problem for observables, Ann. Inst. Henri Poincaré, Vol. XXXVIII, no. 1, (1983), 69-74. (1983) MR0700701
  14. R. Sikorski, 10.4064/fm-36-1-7-22, Fund. Math. 36, (1947), 7-22. (1947) MR0031535DOI10.4064/fm-36-1-7-22
  15. M. Šulista, Observables and scales, (Czech), Habilitation, Technical University of Prague, 1974. (1974) 
  16. S. Ulam, 10.4064/fm-16-1-140-150, Fund. Math. 16, (1930), 140-150. (1930) DOI10.4064/fm-16-1-140-150
  17. V. Varadarajan, Geometry of Quantum Theory, Vol. 1, Princeton, New Jersey: Van Nostrand Reinhold, 1968. (1968) Zbl0155.56802MR0471674

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