Abstract
We offer a variant of the intrinsic definition of compatibility in logics. We shown that any compatible subset can be embedded into a Boolean σ-algebra, we show how the algebra is constructed, and we demonstrate that our definition cannot be weakened unless we put additional assumptions on the logic.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Brabec,Cas. Pest. Mat. 104, 149 (1979).
S. Gudder,Foundations of Probability Theory, Vol. 3 (1976) D. Reidel, Dordrecht, Holland.
S. Gudder,Stochastic Methods in Quantum Mechanics, North-Holland Series in Probability and Applied Mathematics (North-Holland, Amsterdam, 1979).
D. Kappos,Lecture Notes in Mathematics, Vol. 541, (Springer-Verlag, Berlin, 1976).
T. Neubrunn,Acta Fac. Rerum Nat. Univ. Comeniannae Math. 29, (1974).
S. Pulmannová,Ann. Inst. Henri Poincaré, Section A,34, 4 (1981).
V. S. Varadarajan,Comm. Pure Appl. Math. 15, 189 (1962).
V. S. Varadarajan,Geometry of Quantum Theory, Vol. 1, (Van Nostrand, New York, 1968).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brabec, J., Pták, P. On compatibility in quantum logics. Found Phys 12, 207–212 (1982). https://doi.org/10.1007/BF00736849
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00736849