Quantum stochastic integrals as operators

Details Quantum stochastic integrals as operators Quantum stochastic integrals as operators

2010-01-12

arxiv.org/abs/1001.1959v1

Mathematics

Functional Analysis

Scientific paper

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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