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Tytuł artykułu
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Języki publikacji
Abstrakty
We look at analogues of the σ-algebras of events occurring up to a time and the events which are strictly prior to a time of the classical (commutative) theory. In the second case, we define the p-times and investigate the order structure of time projections associated with these times in an abstract set up.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
189--207
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Baghdad University College of Science Department of Mathematics Baghdad, Iraqu, abdulrahman62@yahoo.com
Bibliografia
- [1] Barnett., G., Thakrar, B., A non-commulative random stopping theorem, J. Funct. Anal. 88 (1990), 342-350.
- [2] Barnett., G., Wilde, I. F., Random times and time projections, Proc. Amer. Math. Soc. 110 (1990), 425--440.
- [3] Barnett, G., Wilde, I. F., Random times, predictable processes, and stochastic integration in finite von Neumann algebra, Proc. London Math. Soc. (3) 67 (1993), 355-383.
- [4] Barnett, G., Streater, R. F., Wilde, I. F., Quasi-free quantum stochastic inegrations for CAR and CGR, J. Funct.. Anal. 52 (1983), 19-47.
- [5] Barnett, G, Wilde, I. F., Quantum Doob-Meyer decompositions, J. Operator Theory 20 (1988), 133-164.
- [6] Barnett, G., Thakrar, B., Time projections in a von Neumann algebra, J. Operator Theory 18 (1987), 19-31.
- [7] Barnet.t, G., Goldstein, S., Wilde, I. F., Quantum stopping times and Doob-Meyer decompositions, J. Operator Theory 35 (1996), 85-106.
- [8] Kussmaul, A., Stochastic Integration and Generalised Martingales, Res. Notes Math. 11, Pitman Publishing, London-San Francisco, Calif.-Melbourne, 1977.
- [9] Lindsay, J. M., Fermion marlingales, Probab. Theory Related Fields 71 (1986),307-320.
- [10] Mohammed, A. A. A., On the order structure of time projection, J. Appl. Anal. 8 (2002), 279-295.
- [11] Mohammed, A. A. A., Stopping and stochastic integrals as closable operators, Probab. Math. Statist. 22 (2002), 167-180.
- [12] Wilde, I. F., Quantum martingales and stochaslic integrals, in "Quantum Probability and Applications, III" (Oberwolfach, 1987), Lecture Notes in Math. 1303, Springer, Berlin, 1988.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD4-0002-0024