| Title:
|
An individual ergodic theorem on the Hilbert space logic (English) |
| Author:
|
Lutterová, Tatiana |
| Author:
|
Pulmannová, Sylvia |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
361-371 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46L51 |
| MSC:
|
46L53 |
| MSC:
|
46L54 |
| MSC:
|
47A35 |
| idZBL:
|
Zbl 0597.46066 |
| idMR:
|
MR820633 |
| . |
| Date available:
|
2009-09-25T09:49:26Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131615 |
| . |
| Reference:
|
[1] DVUREČENSKIJ A., RIEČAN B.: On the individual ergodic theorem on a logic.CMUC 21, 2, 1980, 385-391. Zbl 0443.28014, MR 0580693 |
| Reference:
|
[2] PULMANNOVÁ S.: Individual ergodic theorem on a logic.Math. Slovaca 32, 1982, 413-416. Zbl 0503.28005, MR 0676579 |
| Reference:
|
[3] DVUREČENSKIJ A., PULMANNOVÁ S.: Connection between joint distributions and compatibility.Rep. Math. Phys. 19, 1984, 349-359. MR 0745430 |
| Reference:
|
[4] GUDDER S. P.: Joint distributions of observables.J. Math. Mech. 18, 1968, 325-335. Zbl 0241.60092, MR 0232582 |
| Reference:
|
[5] PULMANNOVÁ S.: Relative compatibility and joint distributions of obseгvables.Found. Phys. 10, 1980, 641-653. MR 0659345 |
| Reference:
|
[6] PULMANNOVÁ S.: Compatibility and paгtial compatibility in quantum logics.Ann. Inst. H. Poincaгé XXXIV 1981, 391-403. MR 0625170 |
| Reference:
|
[7] HALMOS P. R.: Intгoduction to the Theory of Hilbert Space and Spectгal Multiplicity.Chelsea Publishing Co, New York 1957. |
| Reference:
|
[8] GLEASON A.: Measures on closed subspaces of a Hilbert space.J. Math. Mech. 6, 1957, 885-894. MR 0096113 |
| Reference:
|
[9] GUDDER S. P., MULLIKIN H. C: Measuгe theoгetic conveгgences of obseгvables and opeгatoгs.J. Math. Phys. 14, 1973, 234-242. MR 0334747 |
| Reference:
|
[10] VARADARAJAN V. S.: Geometry of Quantum Theory I.van Nostrand, Princeton N. Y. 1968. MR 0471674 |
| Reference:
|
[11] LANCE C.: Eгgodic theoгems foг convex sets and opeгator algebгas.Invent. Math. 37, 1976, 201-204. |
| Reference:
|
[12] YEADON F. J.: Ergodic theoгems for semifinite von Neumann algebras I.J. London Math. Soc. 16, 1977, 326-332. MR 0487482 |
| Reference:
|
[13] YEADON F. J.: Eгgodic theoгems for semifinite von Neumann algebгas II.Math. Pгoc. Cambг. Phil. Soc. 88, 1980, 135-147. |
| Reference:
|
[14] JAJTE R.: Non-commutative subadditive eгgodic theorem for semifinite von Neumann algebras.to appear. |
| Reference:
|
[15] GUDDER S. P.: Uniqueness and existence pгopeгties of bounded obseгvables.Pac. J. Math. 15, 1966, 81-93. MR 0201146 |
| Reference:
|
[16] DVUREČENSKIJ A., PULMANNOVÁ S.: On the sum of obseгvables on a logic.Math. Slovaca З0, 1980, 393-399. |
| Reference:
|
[17] ZIERLER N.: Axioms for nonrelativistic quantum mechanics.Pac. J. Math. 11, 1961, 1161-1169. MR 0140972 |
| . |
