Representing a product system representation as a contractive semigroup and applications to regular isometric dilations
Operator Algebras
2011-05-13 v1
Abstract
In this paper we propose a new technical tool for analyzing representations of Hilbert -product systems. Using this tool, we give a new proof that every doubly commuting representation over has a regular isometric dilation, and we also prove sufficient conditions for the existence of a regular isometric dilation of representations over more general subsemigroups of .
Cite
@article{arxiv.0706.3178,
title = {Representing a product system representation as a contractive semigroup and applications to regular isometric dilations},
author = {Orr Shalit},
journal= {arXiv preprint arXiv:0706.3178},
year = {2011}
}