Continuity of a Quantum Stochastic Process |
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| Authors: | Andrzej Łuczak |
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| Affiliation: | (1) Faculty of Mathematics, Łódź University, ul. S. Banacha 22, 90-238 Lodz, Poland |
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| Abstract: | We investigate a quantum counterpart of the classical notion of a stochastic process continuous with probability one, and prove that the L 2-limit of quantum martingales ‘continuous with probability one’ is a quantum martingale ‘continuous with probability one’. Applications of this result to a number of concrete situations is presented. |
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| Keywords: | Quantum stochastic process Segal’ s continuity Martingales von Neumann algebras |
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