On the sum of observables in a logic

Anatolij Dvurečenskij; Sylvia Pulmannová

Mathematica Slovaca (1980)

  • Volume: 30, Issue: 4, page 393-399
  • ISSN: 0232-0525

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Dvurečenskij, Anatolij, and Pulmannová, Sylvia. "On the sum of observables in a logic." Mathematica Slovaca 30.4 (1980): 393-399. <http://eudml.org/doc/31610>.

@article{Dvurečenskij1980,
author = {Dvurečenskij, Anatolij, Pulmannová, Sylvia},
journal = {Mathematica Slovaca},
keywords = {complete orthocomplemented poset; lattice structure},
language = {eng},
number = {4},
pages = {393-399},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the sum of observables in a logic},
url = {http://eudml.org/doc/31610},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Dvurečenskij, Anatolij
AU - Pulmannová, Sylvia
TI - On the sum of observables in a logic
JO - Mathematica Slovaca
PY - 1980
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 30
IS - 4
SP - 393
EP - 399
LA - eng
KW - complete orthocomplemented poset; lattice structure
UR - http://eudml.org/doc/31610
ER -

References

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  1. BUGAJSKA K., BUGAJSKI S., On the axioms of quantum mechanics, Bull. Acad. Pol. Scien. Série des. scien. math., astr., et phys., 20, 1971, 3, 231-233. (1971) MR0307605
  2. DELIYANNIS P. C., Vector space models for abstract quantum logics, J. Math. Phys., 14, 1973, 2, 249-253. (1973) MR0325052
  3. DIXMIER J., Les algèbres d'opérateurs dans l'espace Hilbertien (Algèbres de von Neumann), Gauthier-Villars, 2nd ed., Paris, 1969. (1969) Zbl0175.43801
  4. DVUREČENSKIJ A., On a sum of observables in a logic, Submitted to Math. Slovaca, 1978. (1978) MR0527772
  5. GUDDER S. P., Spectral methods for a generalized probability theory, . Trans. Amer. Math. Soc., 119, 1965, 428-442. (1965) Zbl0161.46105MR0183657
  6. GUDDER S. P., Uniqueness and existence properties of bounded observables, Pac. J. Math., 19, 1966, 1, 81-83. (1966) Zbl0149.23603MR0201146
  7. GUDDER S. P., Joint distributions of observables, J. Math. Mech., 18, 4, 1968, 326-335. (1968) Zbl0241.60092MR0232582
  8. PRUGOVEČKI E., Quantum mechanics in Hilbert space, Acad. Press, N.Y., 1971. (1971) Zbl0217.44204MR0495809
  9. VARADARAJAN V. S., Probability in physics and theorem on simultaneous observability, Comm. Pure Appl. Math., 15, 1962, 189-217. (1962) MR0163616
  10. VARADARAJAN V. S., Geometry of quantum theory, Van Nostrand, New York 1968. (1968) MR0471674
  11. ZIERLER N., Axioms for non-relativistic quantum mechanics, Pac. J. Math., 11, 1961, 1151-1169. (1961) Zbl0138.44503MR0140972

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