Quantum stochastic integrals as operators
Functional Analysis
2015-05-14 v1 Probability
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 --martingale in which case the integrals are --martingales too.
Cite
@article{arxiv.1001.1959,
title = {Quantum stochastic integrals as operators},
author = {Andrzej Łuczak},
journal= {arXiv preprint arXiv:1001.1959},
year = {2015}
}