On two problems of quantum logics

Anatolij Dvurečenskij

Mathematica Slovaca (1986)

  • Volume: 36, Issue: 3, page 253-265
  • ISSN: 0232-0525

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Dvurečenskij, Anatolij. "On two problems of quantum logics." Mathematica Slovaca 36.3 (1986): 253-265. <http://eudml.org/doc/34240>.

@article{Dvurečenskij1986,
author = {Dvurečenskij, Anatolij},
journal = {Mathematica Slovaca},
keywords = {strong independence of observables; joint distributions},
language = {eng},
number = {3},
pages = {253-265},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On two problems of quantum logics},
url = {http://eudml.org/doc/34240},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Dvurečenskij, Anatolij
TI - On two problems of quantum logics
JO - Mathematica Slovaca
PY - 1986
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 36
IS - 3
SP - 253
EP - 265
LA - eng
KW - strong independence of observables; joint distributions
UR - http://eudml.org/doc/34240
ER -

References

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  4. DVUREČENSKIJ A., PULMANNOVA S., Connection between joint distribution and compatibility, Reports. Math. Phys., 18, 1980, 3. (1980) MR0740835
  5. EILERS M., HORST E., The theorem of Gleason for nonseparable Hilbert spaces, Inter. J. Theor. Phys., 13, 1975, 6, 419-424. (1975) MR0389054
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  7. GUDDER S. P., Uniqueness and existence properties of unbounded observables, Pac. J. Math., 19, 1966, 1, 81-93. (1966) MR0201146
  8. GUDDER S. P., Hilbert space, independence and generalized probability, J. Math. Anal. Appl., 20, 1967, 1, 48-61. (1967) MR0222924
  9. GUDDER S. P., Joint distributions of observables, J. Math, and Mech., 18, 1968, 4, 325-335. (1968) Zbl0241.60092MR0232582
  10. GUDDER S. P., Some unsolved problems in quantum logics, in: Mathematical foundations of quantum theory. A. R. Marlow, ed., p. 87-103, Academic Press, NY. 1978. (1978) MR0495813
  11. PULMANNOVÁ S., Compatibility and partial compatibility in quantum logics, Ann. Inst. Henri Poincare, 34, 1981, 4, 391-403. (1981) MR0625170
  12. PULMANNOVÁ S., DVUREČENSKIJ A., Uncertainty principle and jointsdistributions of observables, Ann. Inst. Henri Poincaré, 42, 1985, 3, 253-265. (1985) MR0797275
  13. PTÁK P., Spaces of observables, Czech. Math. J., 34 (109), 1984, 552-561. (1984) Zbl0572.28007MR0764437
  14. SCHATTEN R., Norm ideals of completely continuous operators, 2nd ed. Springer Verlag 1970. (1970) Zbl0188.44103MR0257800
  15. URBANIK K., Joint distributions of observables in quantum mechanics, Stud. Math., 21, 1961, 117-131. (1961) MR0154558
  16. VARADARAJAN V. S., Geometry of quantum theory, Vol. 1., Van Nostrand, Princeton NY. 1968. (1968) MR0471674

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