Title:
|
A note on the extensibility of states (English) |
Author:
|
Pulmannová, Sylvia |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
31 |
Issue:
|
2 |
Year:
|
1981 |
Pages:
|
177-181 |
. |
Category:
|
math |
. |
MSC:
|
03G12 |
MSC:
|
06C15 |
MSC:
|
81P10 |
idZBL:
|
Zbl 0469.03044 |
idMR:
|
MR611630 |
. |
Date available:
|
2009-09-25T09:13:53Z |
Last updated:
|
2012-07-31 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128574 |
. |
Reference:
|
[1] GUDDER S. P.: Uniqueness and existence properties of bounded observables.Pacific J. Math., 19, 1966, 81-93. Zbl 0149.23603, MR 0201146 |
Reference:
|
[2] RÜTTIMANN G. T.: Jauch-Piron states.J. Math. Phys., 18, 1977, 189-193. MR 0426647 |
Reference:
|
[3] VARADARAJAN V. S.: Pгobability in physics and a theorem of simultaneous obseгvability.Commun. Pure Appl. Math., 15, 1962, 189-217. MR 0163616 |
Reference:
|
[4] VARADARAJAN V. S.: Geometгy of Quantum Theory.Vol. 1, van Nostrand, Princeton 1968. MR 0471674 |
Reference:
|
[5] GUDDER S. P.: System of observables in axiomatic quantum mechanics.J. Math. Phys., 8, 1967, 2109-2113. MR 0223144 |
Reference:
|
[6] GUDDER S. P.: Spectral methods for a generalized probability theory.Trans. Ameг. Math. Soc., 119, 1965, 428-442. Zbl 0161.46105, MR 0183657 |
Reference:
|
[7] GLEASON A. M.: Measures on the closed subspaces of a Hilbeгt space.J. Rat. Mech. Anal., 6, 1957, 885-894. MR 0096113 |
Reference:
|
[8] DIXMIER J.: Les algebres ďopérateurs dans ľespace Hilbertien.Gauthier-villars, Paгis 1969. |
Reference:
|
[9] BADE W. G.: On Boolean algebras of projections and algebras of opeгators.Tгans. Ameг. Math. Soc., 80, 1955, 345-360. MR 0073954 |
Reference:
|
[10] DUNFORD N., SCHWARTZ J. T.: Линeйныe oпepaтopы.Cпeктpaльныe oпepaтopы. MИP, Mocквa 1974. |
Reference:
|
[11] ZIERLER N.: Axioms for non-гelativistic quantum mechanics.Pacific J. Math., 11, 1961, 1151-1169. MR 0140972 |
. |