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Title: State space properties of finite logics (English)
Author: Navara, Mirko
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 37
Issue: 2
Year: 1987
Pages: 188-196
Summary lang: Russian
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Category: math
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MSC: 03G12
MSC: 05C65
MSC: 31B10
idZBL: Zbl 0647.03057
idMR: MR882593
DOI: 10.21136/CMJ.1987.102148
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Date available: 2008-06-09T15:15:15Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102148
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Reference: [1] Bunce L. J., Navara M., Pták P., Wright J. D. M.: Quantum logics with Jauch-Piron states.Oxford Quarterly Journal, 1985 (to appear). MR 0800759
Reference: [2] Greechie R. J., Miller F. R.: On structures related to states on an empirical logic I. Weights on finite spaces.Technical Report 14, Dept. of Mathematics, Kansas State University, Manhattan, Kansas, 1970.
Reference: [3] Greechie R. J.: Orthomodular lattices admitting no states.J. of Combinatorial Theory 10, 119-132, 1971. Zbl 0219.06007, MR 0274355, 10.1016/0097-3165(71)90015-X
Reference: [4] Giidder S. P.: Stochastic Methods in Quantum Mechanics.North Holland, New York, 1979. MR 0543489
Reference: [5] Jauch M.: Foundations of Quantum Mechanics.Addison-Wesley, 1968. Zbl 0166.23301, MR 0218062
Reference: [6] Piron C: Foundations of Quantum Physics.Benjamin, Reading (Mass.), 1976. Zbl 0333.46050, MR 0673578
Reference: [7] Pták P.: Exotic logics. Colloquium Math..1985 (to appear). MR 0928651
Reference: [8] Pták P.: Extensions of states on logics.to appear. MR 0826375
Reference: [9] Pulmanová S.: A note on the extensibility of states.Math. Slovaca 30, 177-181, 1981. MR 0611630
Reference: [10] Rüttimann G. T.: Jauch-Piron states.J. Math. Phys. 18, 189-193, 1977. MR 0426647, 10.1063/1.523255
Reference: [11] Shultz F. W.: A characterization of state spaces of orthomodular lattices.J. of Combinatorial Theory (A) 17, 317-328, 1974. MR 0364042, 10.1016/0097-3165(74)90096-X
Reference: [12] Varadarajan V. S.: Geometry of Quantum Theory.Vol. I, Van Nostrand, Princeton, N.J., 1969. MR 0471674
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