Title:
|
On two problems of quantum logics (English) |
Author:
|
Dvurečenskij, Anatolij |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
36 |
Issue:
|
3 |
Year:
|
1986 |
Pages:
|
253-265 |
. |
Category:
|
math |
. |
MSC:
|
03G12 |
MSC:
|
81P10 |
idZBL:
|
Zbl 0616.03038 |
idMR:
|
MR866626 |
. |
Date available:
|
2009-09-25T09:55:12Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136426 |
. |
Reference:
|
[1] DRISCH T.: Generalization of Gleason's theorem.Inter. J. Theor, Phys., 18, 1978, 4, 239-243. MR 0552434 |
Reference:
|
[2] DVUREČENSKIJ A.: On m-joint distribution.Math. Slovaca, 31, 1981, 4, 347-353. Zbl 0474.03033, MR 0637963 |
Reference:
|
[3] DVUREČENSKIJ A., PULMANNOVA S.: On joint distributions of observables.Math. Slovaca, 32, 1982, 2, 155-166. Zbl 0495.60007, MR 0658249 |
Reference:
|
[4] DVUREČENSKIJ A., PULMANNOVA S.: Connection between joint distribution and compatibility.Reports. Math. Phys., 18, 1980, 3. MR 0740835 |
Reference:
|
[5] EILERS M., HORST E.: The theorem of Gleason for nonseparable Hilbert spaces.Inter. J. Theor. Phys., 13, 1975, 6, 419-424. MR 0389054 |
Reference:
|
[6] GREECHIE R.: On generating distributive sublattices of orthomodular lattices.Proc. Amer. Math. Soc., 67, 1977, 1, 17-22. Zbl 0371.06008, MR 0450157 |
Reference:
|
[7] GUDDER S. P.: Uniqueness and existence properties of unbounded observables.Pac. J. Math., 19, 1966, 1, 81-93. MR 0201146 |
Reference:
|
[8] GUDDER S. P.: Hilbert space, independence and generalized probability.J. Math. Anal. Appl., 20, 1967, 1, 48-61. MR 0222924 |
Reference:
|
[9] GUDDER S. P.: Joint distributions of observables.J. Math, and Mech., 18, 1968, 4, 325-335. Zbl 0241.60092, MR 0232582 |
Reference:
|
[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. MR 0495813 |
Reference:
|
[11] PULMANNOVÁ S.: Compatibility and partial compatibility in quantum logics.Ann. Inst. Henri Poincare, 34, 1981, 4, 391-403. MR 0625170 |
Reference:
|
[12] PULMANNOVÁ S., DVUREČENSKIJ A.: Uncertainty principle and jointsdistributions of observables.Ann. Inst. Henri Poincaré, 42, 1985, 3, 253-265. MR 0797275 |
Reference:
|
[13] PTÁK P.: Spaces of observables.Czech. Math. J., 34 (109), 1984, 552-561. Zbl 0572.28007, MR 0764437 |
Reference:
|
[14] SCHATTEN R.: Norm ideals of completely continuous operators.2nd ed. Springer Verlag 1970. Zbl 0188.44103, MR 0257800 |
Reference:
|
[15] URBANIK K.: Joint distributions of observables in quantum mechanics.Stud. Math., 21, 1961, 117-131. MR 0154558 |
Reference:
|
[16] VARADARAJAN V. S.: Geometry of quantum theory.Vol. 1., Van Nostrand, Princeton NY. 1968. MR 0471674 |
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