| Title:
|
Spaces of observables (English) |
| Author:
|
Pták, Pavel |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1984 |
| Pages:
|
552-561 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06C15 |
| MSC:
|
46N05 |
| MSC:
|
81B10 |
| idZBL:
|
Zbl 0572.28007 |
| idMR:
|
MR764437 |
| DOI:
|
10.21136/CMJ.1984.101981 |
| . |
| Date available:
|
2008-06-09T15:02:22Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101981 |
| . |
| Reference:
|
[1] G. Birkhoff, J. von Neumann: The logic of quantum mechanics.Annals of Mathematics, 37 (1936), 823-843. Zbl 0015.14603, MR 1503312, 10.2307/1968621 |
| Reference:
|
[2] J. Brabec: Compatibility in orthomodular posets.Čas. pěst. mat., 104 (1979), 149-153. Zbl 0416.06004, MR 0531926 |
| Reference:
|
[3] J. Brabec: On some mappings generating vector L-measures.Čas. pěst. mat. 106, (1981), 347-353. Zbl 0482.28017, MR 0637812 |
| Reference:
|
[4] J. Brabec, P. Pták: On compatibility in quantum logics.Foundations of Physics 72, No. 2, (1982), 207-212. MR 0659779, 10.1007/BF00736849 |
| Reference:
|
[5] R. Greechie: Orthomodular lattices admitting no states.Journ. Comb. Theory 10, (1971), 119-132. Zbl 0219.06007, MR 0274355, 10.1016/0097-3165(71)90015-X |
| Reference:
|
[6] S. Gudder: Spectral methods for a generalized probability theory.Trans. Amer. Math. Soc. 119, (1966), 428-442. MR 0183657, 10.1090/S0002-9947-1965-0183657-6 |
| Reference:
|
[7] S. Gudder: Stochastic Methods in Quantum Mechanics.Elsevier North Holland, Inc., 1979. Zbl 0439.46047, MR 0543489 |
| Reference:
|
[8] K. Kuratowski: Topology I.Academic Press, 1966. MR 0217751 |
| Reference:
|
[9] T. Neubrunn S. Pulmannovd: Compatibility in quantum logics.to appear in Acta Fac. Rev. Natur. Univ. Comen. Math. 1982. MR 0659779 |
| Reference:
|
[10] T. Neubrunn: A note on the quantum probability spaces.Proc. Amer. Math. Soc. 25, no. 3, 1970, 672-675. MR 0259056, 10.1090/S0002-9939-1970-0259056-2 |
| Reference:
|
[11] P. Pták: An observation on observables.to appear in Acta Polytechnica 1984. MR 0936050 |
| Reference:
|
[12] P. Pták: Realcompactness and the notion of observable.J. London Math. Soc. 2, 23, (1981), 534-536. MR 0616560, 10.1112/jlms/s2-23.3.534 |
| Reference:
|
[13] P. Pták, V. Rogalewicz: Regularly full logics and the uniqueness problem for observables.Ann. Inst. Henri Poincaré, Vol. XXXVIII, no. 1, (1983), 69-74. MR 0700701 |
| Reference:
|
[14] R. Sikorski: On the inducing of homomorphisms by mappings.Fund. Math. 36, (1947), 7-22. MR 0031535, 10.4064/fm-36-1-7-22 |
| Reference:
|
[15] M. Šulista: Observables and scales.(Czech), Habilitation, Technical University of Prague, 1974. |
| Reference:
|
[16] S. Ulam: Zur Masstheorie in der allgemeinen Mengenlehre.Fund. Math. 16, (1930), 140-150. 10.4064/fm-16-1-140-150 |
| Reference:
|
[17] V. Varadarajan: Geometry of Quantum Theory.Vol. 1, Princeton, New Jersey: Van Nostrand Reinhold, 1968. Zbl 0155.56802, MR 0471674 |
| . |
