Geodesic
Ordering of observables and characterization of conditional expectation
Mathematica slovaca, Tome 37 (1987) no. 4, pp. 323-340
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 03G12, 06C15, 81P10, 81P20 
@article{MASLO_1987_37_4_a1,
     author = {N\'an\'asiov\'a, O\v{l}ga},
     title = {Ordering of observables and characterization of conditional expectation},
     journal = {Mathematica slovaca},
     pages = {323--340},
     year = {1987},
     volume = {37},
     number = {4},
     mrnumber = {916940},
     zbl = {0642.03037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1987_37_4_a1/}
}
TY  - JOUR
AU  - Nánásiová, Oľga
TI  - Ordering of observables and characterization of conditional expectation
JO  - Mathematica slovaca
PY  - 1987
SP  - 323
EP  - 340
VL  - 37
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_1987_37_4_a1/
LA  - en
ID  - MASLO_1987_37_4_a1
ER  - 
%0 Journal Article
%A Nánásiová, Oľga
%T Ordering of observables and characterization of conditional expectation
%J Mathematica slovaca
%D 1987
%P 323-340
%V 37
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_1987_37_4_a1/
%G en
%F MASLO_1987_37_4_a1
Nánásiová, Oľga. Ordering of observables and characterization of conditional expectation. Mathematica slovaca, Tome 37 (1987) no. 4, pp. 323-340. http://geodesic.mathdoc.fr/item/MASLO_1987_37_4_a1/

[1] CATLIN D. E.: Spectral theory in quantum logics. Int. J. of Theor. Physics, 1, 1968, 3-16. | MR

[2] DOOB J. L.: Stochastic Processes. London, 1953. | MR | Zbl

[3] DVUREČENSKIJ A., PULMANNOVÁ S.: On the sum of observables in a logic. Math. Slovaca 30, 1980, 393-399. | MR | Zbl

[4] GUDDER S. P.: Hilbert space, independence, and generalized probability. J. of Math. Analysis and Applications 20, 1961, 48-61. | MR

[5] GUDDER S. P.: Spectral methods for a generalized probability theory. Trans. AMS 119, 1965, 428-442. | MR | Zbl

[6] GUDDER S. P.: Uniqueness and existence properties of bounded observables. Pac. J. of Math. 19, 1966, 81-93, 588-590. | MR | Zbl

[7] GUDDER S. P.: Generalized measure theory. Found. Physics 3, 1973, 399-411. | MR

[8] GUDDER S. P., MULLIKIN H. C.: Measure theoretic convergences of observables and operators. J. Math. Phys. 14, 1973, 234-242. | MR

[9] GUDDER S. P.: Expectation and transition probability. Int. J. of Theor. Physics 20, 1981, 383-395. | MR | Zbl

[10] GUDDER S. P., ZERBE J.: Generalized monotone convergence and Radon-Nikodym theorems. J. Math. Phys. 22, 1981, 2553-2561. | MR | Zbl

[11] HALMOS P. R.: Measure Theory. New Yoгk, 1950. | MR | Zbl

[12] HARMAN B., RIEČAN B.: Martingale convergence in q.m. logic. Trans. 9th Prague Conf. on Inf. Theory, Prague 1983.

[13] LOOMIS S.: On the repгesentation of σ-complete Boolean algebras. Bull. AMS. 53, 1947, 757-760. | MR

[14] NÁNÁSIOVÁ O., PULMANNOVÁ S.: Relative conditional expectations on a logic. Aplikace matematiky 30, 1985, 332-350. | MR | Zbl

[15] NEUBRUNN T., RIEČAN B.: Miera a integral. VEDA, Bratislava, 1981. | MR

[16] PTÁK P.: Spaces of observables. Czechoslovak Math. Journal 34, 1984, 552-561. | MR | Zbl

[17] PULMANNOVÁ S.: Compatibility and partial compatibility in quantum logics. Ann. Inst. H. Poincaré 34, 1981, 391-403. | MR

[18] NEUBRUNN T., PULMANNOVÁ S.: On compatibility in quantum logic. Acta Math. Univ. Comenian XLII-XLIII, 1984, 153-168. | MR

[19] SHU-TEN CHEN MOY: Characterization of conditional expectation as a transformation space. Pacif. J. Math. 4, 1954, 47-64. | MR

[20] VARADARAJAN V.: Geometry of quantum theory 1. Von Nonstrand 1968.

[21] ZIERLER N.: Order properties of bounded observables. Proc. AMS 14, 1963, 346-351. | MR | Zbl

[22] SIKORSKI R.: Boolean Algebras. New York, Springer-Verlag. 1969. | MR | Zbl