Abstract
We study the notions of disjunctivity and alternativity of orthomodular posets inthe context of orthoprojections or skew projections in C *-algebras.
Similar content being viewed by others
REFERENCES
Blackadar, B. (1994). Projections in C*-algebras, Contemporary Mathematics, 167, 131-149.
de Lucia, P., and De Simone, A. (1998). Measures on a weakly orthocomplete OMP with a filtering sub-OMP, Tatra Mountains Mathematical Publications, 15, 233-244.
Godowski, R. (1979). Disjunctivity and orthodisjunctivity in orthomodular posets, Demonstratio Mathematica, 12, 1043-1049.
Kalmbach, G. (1983). Orthomodular Lattices, Academic Press, London.
Lindenstrauss, J., and Tzafrifi, L. (1977). Classical Banach Spaces, I. Sequence Spaces, Springer-Verlag, Berlin.
Murphy, G. J. (1990). C*-Algebras and Operator Theory, Academic Press, New York.
Mushtari, D. H. (1989). Projection logics in Banach spaces, Izvestiya Vysshikh Uchebnykh Zavedenii. Seriya Matematika, 1989: (8), 59-70 [in Russian].
Mushtari, D. H. (1998). Orthoadditive functions on idempotents, in Measures on Projections and Orthomodular Posets, Kazan Mathematical Society, Kazan, pp. 38-83.
Ovchinnikov, P. G. (1994). On alternative orthomodular posets, Demonstratio Mathematica 27, 89-93.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grigoryan, S.A., Mushtari, D.H. & Ovchinnikov, P.G. Disjunctivity and Alternativity in Projection Logics. International Journal of Theoretical Physics 39, 705–709 (2000). https://doi.org/10.1023/A:1003650107358
Issue Date:
DOI: https://doi.org/10.1023/A:1003650107358