On the homomorphisms of sum logics
Pulmannová, S. ; Dvurečenskij, A.
Annales de l'I.H.P. Physique théorique, Tome 54 (1991), p. 223-228 / Harvested from Numdam
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Publié le : 1991-01-01
@article{AIHPA_1991__54_2_223_0,
     author = {Pulmannov\'a, Sylvia and Dvure\v censkij, Anatolij},
     title = {On the homomorphisms of sum logics},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {54},
     year = {1991},
     pages = {223-228},
     mrnumber = {1110654},
     zbl = {0739.03037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1991__54_2_223_0}
}

Pulmannová, S.; Dvurečenskij, A. On the homomorphisms of sum logics. Annales de l'I.H.P. Physique théorique, Tome 54 (1991) pp. 223-228. http://gdmltest.u-ga.fr/item/AIHPA_1991__54_2_223_0/

[1] D. Aerts and I. Daubechies, About the Structure Preserving Maps of a QuantumMechanical Proposition System, Helv. Phys. Acta, Vol. 51, 1978, pp. 637-660. | MR 542797

[2] D. Aerts and I. Daubechies, Simple Proof that the Structure Preserving Maps Between Quantum Mechanical Propositional Systems Conserve the Angles, Helv. Phys. Acta, Vol. 56, 1983, pp. 1187-1190. | MR 734581

[3] A. Dvurečenskij, Generalization of Maeda's Theorem, Int. J. Theor. Phys., Vol. 25, 1986, pp. 1117-1124. | MR 868372 | Zbl 0618.46053

[4] H. Dye, On the Geometry of Projections in Certain Operator Algebras, Ann. Math., Vol. 61, 1955, pp. 73-89. | MR 66568 | Zbl 0064.11002

[5] S. Gudder, Spectral Methods for a Generalized Probability Theory, Trans. Am. Math. Soc., Vol. 119, 1965, pp. 428-442. | MR 183657 | Zbl 0161.46105

[6] S. Gudder, Uniqueness and Existence Properties of Bounded Observables, Pac. J. Math., Vol. 19, 1966, pp. 81-93, pp. 588-589. | MR 201146 | Zbl 0149.23603

[7] J. Hamhalter, Orthogonal Vector Measures, Proc. 2nd Winter School on Measure Theory, Liptovský Ján 1990 (to appear). | MR 1118406 | Zbl 0755.46029

[8] R. Jajte and A. Paszkiewicz, Vector Measures on the Closed Subspaces of a Hilbert Space, Studia Math., Vol. 63, 1978, pp. 229-251. | MR 632053 | Zbl 0407.46058

[9] P. Kruszynski, Extensions of Gleason Theorem, Quantum Probability and Applications to Quantum Theory of Irreversible Processes, Proc. Villa Mondragone, 1982, LNM 1055, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984, pp. 210-227. | MR 782906 | Zbl 0573.46038

[10] P. Kruszynski, Vector Measures on Orthocomplemented Lattices, Math. Proceedings, Vol. A 91, 1988, pp. 427-442. | MR 976526 | Zbl 0819.46036

[11] T. Matolczi, Tensor Product of Hilbert Lattices and Free Orthodistributive Product of Orthomodular Lattices, Acta Sci. Math., Vol. 37, 1975, pp. 263-272. | MR 388122 | Zbl 0342.06005

[12] S. Pulmannová and A. Dvurečenskij, Sum Logics, Vector-Valued Measures and Representations, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 53, 1990, pp. 83-95. | Numdam | MR 1077466 | Zbl 0742.46030

[13] V. Varadarajan, Geometry of Quantum Theory, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1985. | MR 805158 | Zbl 0581.46061

[14] R. Wright, The Structure of Projection-Valued States, a Generalization of Wigner's Theorem, Int. J. Theor. Phys., Vol. 16, 1977, pp. 567-573. | MR 468859 | Zbl 0379.46054