On the order structure of time projection

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

Abstrakty

EN

The order structure of time projections associated with random times in a von Neumann algebra is investigated in the general setup as well as that of the CAR and CCR algebras. In the second case various additional properties (such as e.g. the upper/lower continuity) of the lattice of time projections are also discussed.

Słowa kluczowe

EN

time projection; filtration of a von Neumann algebra; random times; CAR algebra; CCR algebra

PL

czas projekcji; filtracja algebry von Neumanna; przypadkowe czasy; algebra CAR i CCR

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2002
• Tom: Vol. 8, nr 2
• Strony: 279--295
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Mohammed A. A. A.

• Faculty of Mathematics Łódź University Banacha 22 90-238 Łódź, Poland,

Bibliografia

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• [9] Lindsay, J. M., Fermion martingales, Probab. Theory Related Fields 71 (1986), 307 320.
• [10] Lindsay, J. M., Wilde, I. F., On non-Fock boson stochastic integrals, J. Funct. Anal. 65 (1986), 76-82.
• [11] Stratila, S., Zsido, L., Lectures on von Neumann Algebras, Abacus Press, Tunbridge Wells, 1979.
• [12] Takesaki, M., Theory of Operator Algebras I, Springer-Verlag, Berlin-Heidelberg-New York, 1979.
• [13] Wilde, I. F., Quantum martingales and stochastic integrals, in “Quantum Probability and Applications III” , Lecture Notes in Math. 1 3 0 3 , Editors: L. Accardi and W. von Waldenfels, Springer-Verlag, Berlin-Heidelberg-New York, 1988.