| Title:
|
Quantum logics representable as kernels of measures (English) |
| Author:
|
Navara, Mirko |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
587-597 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G12 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 0879.03017 |
| idMR:
|
MR1414596 |
| DOI:
|
10.21136/CMJ.1996.127321 |
| . |
| Date available:
|
2009-09-24T10:00:11Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127321 |
| . |
| Reference:
|
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| Reference:
|
[2] Drossos, C.A.: Boolean methods and Pták’s sum.(to appear). Zbl 0836.03036 |
| Reference:
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[3] Grätzer, G.: Universal Algebra.Springer-Verlag, New York/Heidelberg/Berlin, 1979. MR 0538623 |
| Reference:
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[4] Gudder, S.P., Zerbe, J.: Generalized monotone convergence and Radon-Nikodym theorems.J. Math. Physics 22 (1981), 2553–2561. MR 0640666, 10.1063/1.524832 |
| Reference:
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[5] Janowitz, M.F.: Constructible lattices.J. Austr. Math. Soc. 14 (1972), 311–316. Zbl 0201.01803, MR 0316333, 10.1017/S1446788700010776 |
| Reference:
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[6] Kalmbach, G.: Orthomodular Lattices.Academic Press, London, 1983. Zbl 0554.06009, MR 0716496 |
| Reference:
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[7] Mayet-Ippolito, A.: Generalized orthomodular posets.Demonstratio Math. 24 (1991), 263–274. Zbl 0755.06006, MR 1142894 |
| Reference:
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[8] Müller, V.: Jauch-Piron states on concrete quantum logics.Int. J. Theor. Phys. 32 (1993), 433–442. MR 1213098, 10.1007/BF00673353 |
| Reference:
|
[9] Müller, V., Pták, P., Tkadlec, J.: Concrete quantum logics with covering properties.Int. J. Theor. Phys. 31 (1992), 843–854. MR 1162627, 10.1007/BF00678549 |
| Reference:
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[10] Navara, M.: .When is the integral on quantum probability spaces additive? Real Analysis Exchange 14 (1989), 228–234. Zbl 0734.28015, MR 0988369, 10.2307/44153642 |
| Reference:
|
[11] Navara, M., Pták, P.: Almost Boolean orthomodular posets.J. Pure Appl. Algebra 60 (1989), 105–111. MR 1014608, 10.1016/0022-4049(89)90108-4 |
| Reference:
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[12] Olejček, V.: Generation of a q-$\sigma $-algebra in the plane.Proc. Conf. Topology and Measure V, Greifswald, 1988, pp. 121–125. |
| Reference:
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[13] Pták, P.: Summing of Boolean algebras and logics.Demonstratio Math. 19 (1986), 349–358. MR 0895008 |
| Reference:
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[14] Pták, P.: FAT $\leftrightarrow $ CAT (in the state space of quantum logics).Proc. 1st Winter School on Measure Theory, Liptovský Ján, 1988, pp. 113–118. Zbl 0685.03045, MR 1000201 |
| Reference:
|
[15] Pták, P., Pulmannová, S.: Orthomodular Structures as Quantum Logics.Kluwer Academic Publishers, Dordrecht/Boston/London, 1991. MR 1176314 |
| Reference:
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[16] Rüttimann, G.T.: Jauch-Piron states.J. Math. Phys. 18 (1977), 189–193. MR 0426647 |
| Reference:
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[17] Sikorski, R.: Boolean Algebras.Springer-Verlag, Berlin, 1969. Zbl 0191.31505, MR 0126393 |
| Reference:
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[18] Suppes, P.: The probabilistic argument for a nonclassical logic of quantum mechanics.Philos. Sci. 33 (1966), 14–21. MR 0215575, 10.1086/288067 |
| Reference:
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[19] Zerbe, J.E., Gudder, S.P.: Additivity of integrals on generalized measure spaces.J. Comb. Theory (A) 30 (1985), 42–51. MR 0787717, 10.1016/0097-3165(85)90082-2 |
| Reference:
|
[20] Zierler, N., Schlessinger, M.: Boolean embeddings of orthomodular sets and quantum logic.Duke Math. J. 32 (1965), 251–262. MR 0175520, 10.1215/S0012-7094-65-03224-2 |
| . |
