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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
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Category: math
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MSC: 03G12
MSC: 06C15
MSC: 81P10
idZBL: Zbl 0469.03044
idMR: MR611630
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Date available: 2009-09-25T09:13:53Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/128574
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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
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