%0 Journal Article
%T Quantum stochastic integrals as operators
%A Andrzej £¿uczak
%J Mathematics
%D 2010
%I arXiv
%R 10.1007/s10773-010-0367-5
%X 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.
%U http://arxiv.org/abs/1001.1959v1