Sequential products on effect algebras

Reports on Mathematical Physics

Volumn 49, Issue 1, 2002, Pages 87-111

  Gudder, Stan ^a   Greechie, Richard ^b  

^a UNIVERSITY OF DENVER   (United States)

^b Louisiana Tech University   (United States)

Author keywords

Effect algebras; Fuzzy sets; Hilbert space operators; Sequential products

Indexed keywords

EID: 0036488533     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(02)80007-6     Document Type: Article

References (18)

1. M. K. Bennett and D. J. Foulis: Adv. Appl. Math. 91 (1977), 200-215.
2. P. Busch, P. J. Lahti and P. Middlestaedt: The Quantum Theory of Measurements, Springer, Berlin, 1991.
3. P. Busch, M. Grabowski and P. J. Lahti: Operation Quantum Physics, Springer, Berlin, 1995.
4. E. B. Davies: Quantum Theory of Open Systems, Academic Press, New York 1976.
5. A. Dvurečenskij: Trans. Amer. Math. Soc. 147 (1995), 1043-1057.
6. A. Dvurečenskij and S. Pulmannová: New Trends in Quantum Structures, Kluwer, Dordrecht 2000.
7. D. J. Foulis and M. K. Bennett: Found. Phys. 24 (1994), 1325-1346.
8. R. Giuntini and H. Greuling: Found. Phys. 19 (1989), 931-945.
9. R. J. Greechie, D. J. Foulis and S. Pulmannová: The center of an effect algebra, Order 12 (1995), 91-106.
10. S. Gudder: J. Math. Phys. 39 (1998), 5772-5788.
11. S. Gudder: Rep. Math. Phys. 42 (1998), 321-346.
12. S. Gudder and G. Nagy: Sequentially independent effects, Proc. Amer Math. Soc. (to appear).
13. S. Gudder and G. Nagy: Sequentially quantum measurements, J. Math. Phys. (to appear).
14. F. Kôpka: D-Posets and fuzzy sets, Tatra Mountains Publ. 1 (1992), 83-87.
15. F. Kôpka and F. Chovanec: Math. Slovaca 44 (1994), 21-34.
16. K. Kraus: States, Effects, and Operations, Springer, Berlin 1983.
17. G. Ludwig: Foundations of Quantum Mechanics, Springer, Berlin 1983.
18. L. Molnar: Letts. Math. Phys. 51 (2000) 37-45.