In these notes the author presents a complete theory of classification of $E_0$-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it is spatial.
| ISBN: | 9781470428266 |
| Publication date: | 3rd October 2016 |
| Author: | Skeide, Michael |
| Publisher: | American Mathematical Society |
| Format: | Ebook (PDF) |