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Fock space operator valued martingale convergence. (Chinese. English summary) Zbl 1110.81122

Albeverio, Sergio (ed.) et al., Proceedings of the international conference on stochastic analysis and applications, Hammamet, Tunesia, October 22–27, 2001. Dedicated to Professor Paul Kreé on the occasion of his 65th birthday. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2467-3/hbk). 129-143 (2004).
Summary: We discuss the strong convergence of quantum martingale on (Boson) Fock space. In particular, the strong convergence of basic martingales are established.
For the entire collection see [Zbl 1094.60001].

MSC:

81S25 Quantum stochastic calculus
46N50 Applications of functional analysis in quantum physics
47N50 Applications of operator theory in the physical sciences
60G48 Generalizations of martingales
60H40 White noise theory