Geodesic
On two problems of quantum logics
Mathematica slovaca, Tome 36 (1986) no. 3, pp. 253-265
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 03G12, 81P10 
@article{MASLO_1986_36_3_a5,
     author = {Dvure\v{c}enskij, Anatolij},
     title = {On two problems of quantum logics},
     journal = {Mathematica slovaca},
     pages = {253--265},
     year = {1986},
     volume = {36},
     number = {3},
     mrnumber = {866626},
     zbl = {0616.03038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1986_36_3_a5/}
}
TY  - JOUR
AU  - Dvurečenskij, Anatolij
TI  - On two problems of quantum logics
JO  - Mathematica slovaca
PY  - 1986
SP  - 253
EP  - 265
VL  - 36
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MASLO_1986_36_3_a5/
LA  - en
ID  - MASLO_1986_36_3_a5
ER  - 
%0 Journal Article
%A Dvurečenskij, Anatolij
%T On two problems of quantum logics
%J Mathematica slovaca
%D 1986
%P 253-265
%V 36
%N 3
%U http://geodesic.mathdoc.fr/item/MASLO_1986_36_3_a5/
%G en
%F MASLO_1986_36_3_a5
Dvurečenskij, Anatolij. On two problems of quantum logics. Mathematica slovaca, Tome 36 (1986) no. 3, pp. 253-265. http://geodesic.mathdoc.fr/item/MASLO_1986_36_3_a5/

[1] DRISCH T.: Generalization of Gleason's theorem. Inter. J. Theor, Phys., 18, 1978, 4, 239-243. | MR

[2] DVUREČENSKIJ A.: On m-joint distribution. Math. Slovaca, 31, 1981, 4, 347-353. | MR | Zbl

[3] DVUREČENSKIJ A., PULMANNOVA S.: On joint distributions of observables. Math. Slovaca, 32, 1982, 2, 155-166. | MR | Zbl

[4] DVUREČENSKIJ A., PULMANNOVA S.: Connection between joint distribution and compatibility. Reports. Math. Phys., 18, 1980, 3. | MR

[5] EILERS M., HORST E.: The theorem of Gleason for nonseparable Hilbert spaces. Inter. J. Theor. Phys., 13, 1975, 6, 419-424. | MR

[6] GREECHIE R.: On generating distributive sublattices of orthomodular lattices. Proc. Amer. Math. Soc., 67, 1977, 1, 17-22. | MR | Zbl

[7] GUDDER S. P.: Uniqueness and existence properties of unbounded observables. Pac. J. Math., 19, 1966, 1, 81-93. | MR

[8] GUDDER S. P.: Hilbert space, independence and generalized probability. J. Math. Anal. Appl., 20, 1967, 1, 48-61. | MR

[9] GUDDER S. P.: Joint distributions of observables. J. Math, and Mech., 18, 1968, 4, 325-335. | MR | Zbl

[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

[11] PULMANNOVÁ S.: Compatibility and partial compatibility in quantum logics. Ann. Inst. Henri Poincare, 34, 1981, 4, 391-403. | MR

[12] PULMANNOVÁ S., DVUREČENSKIJ A.: Uncertainty principle and jointsdistributions of observables. Ann. Inst. Henri Poincaré, 42, 1985, 3, 253-265. | MR

[13] PTÁK P.: Spaces of observables. Czech. Math. J., 34 (109), 1984, 552-561. | MR | Zbl

[14] SCHATTEN R.: Norm ideals of completely continuous operators. 2nd ed. Springer Verlag 1970. | MR | Zbl

[15] URBANIK K.: Joint distributions of observables in quantum mechanics. Stud. Math., 21, 1961, 117-131. | MR

[16] VARADARAJAN V. S.: Geometry of quantum theory. Vol. 1., Van Nostrand, Princeton NY. 1968. | MR