A note on p-times and time projections

• Autorzy: Mohammed A. A. A.
• Języki publikacji: EN

Abstrakty

EN

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

EN

random times; p-times; time projections; von Neumann algebras

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2006
• Tom: Vol. 12, nr 2
• Strony: 189--207
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Mohammed A. A. A.

• Baghdad University College of Science Department of Mathematics Baghdad, Iraqu,

Bibliografia

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• [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.