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arXiv · 1001.1959

Quantum stochastic integrals as operators

Andrzej Łuczak
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Abstract

We construct quantum stochastic integrals for the integrator being a martingale in a von Neumann algebra, and the integrand -- a suitable process with values in the same algebra, as densely defined operators affiliated with the algebra. In the case of a finite algebra we allow the integrator to be an $L^2$--martingale in which case the integrals are $L^2$--martingales too.

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Andrzej Łuczak. 2010-01-12. Quantum stochastic integrals as operators. https://doi.org/10.1007/s10773-010-0367-5

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