Independence and Product Systems
Abstract
Description
Starting from elementary considerations about independence and Markov processes in classical probability we arrive at the new concept of conditional monotone independence (or operator-valued monotone independence). With the help of product systems of Hilbert modules we show that monotone conditional independence arises naturally in dilation theory.
To appear in Proceedings of the ``First Sino-German Meeting on Stochastic Analysis'', Beijing, 2002
To appear in Proceedings of the ``First Sino-German Meeting on Stochastic Analysis'', Beijing, 2002