| Title:
|
On the sum of observables in a logic (English) |
| Author:
|
Dvurečenskij, Anatolij |
| Author:
|
Pulmannová, Sylvia |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
393-399 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G12 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 0454.03030 |
| idMR:
|
MR595300 |
| . |
| Date available:
|
2009-09-25T09:10:27Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128775 |
| . |
| Reference:
|
[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. MR 0307605 |
| Reference:
|
[2] DELIYANNIS P. C.: Vector space models for abstract quantum logics.J. Math. Phys., 14, 1973, 2, 249-253. MR 0325052 |
| Reference:
|
[3] DIXMIER J.: Les algèbres d'opérateurs dans l'espace Hilbertien (Algèbres de von Neumann).Gauthier-Villars, 2nd ed., Paris, 1969. Zbl 0175.43801 |
| Reference:
|
[4] DVUREČENSKIJ A.: On a sum of observables in a logic.Submitted to Math. Slovaca, 1978. MR 0527772 |
| Reference:
|
[5] GUDDER S. P.: Spectral methods for a generalized probability theory.. Trans. Amer. Math. Soc., 119, 1965, 428-442. Zbl 0161.46105, MR 0183657 |
| Reference:
|
[6] GUDDER S. P.: Uniqueness and existence properties of bounded observables.Pac. J. Math., 19, 1966, 1, 81-83. Zbl 0149.23603, MR 0201146 |
| Reference:
|
[7] GUDDER S. P.: Joint distributions of observables.J. Math. Mech., 18, 4, 1968, 326-335. Zbl 0241.60092, MR 0232582 |
| Reference:
|
[8] PRUGOVEČKI E.: Quantum mechanics in Hilbert space.Acad. Press, N.Y., 1971. Zbl 0217.44204, MR 0495809 |
| Reference:
|
[9] VARADARAJAN V. S.: Probability in physics and theorem on simultaneous observability.Comm. Pure Appl. Math., 15, 1962, 189-217. MR 0163616 |
| Reference:
|
[10] VARADARAJAN V. S.: Geometry of quantum theory.Van Nostrand, New York 1968. MR 0471674 |
| Reference:
|
[11] ZIERLER N.: Axioms for non-relativistic quantum mechanics.Pac. J. Math., 11, 1961, 1151-1169. Zbl 0138.44503, MR 0140972 |
| . |
