Product systems, subproduct systems and dilation theory of completely positive semigroups
Operator Algebras
2010-03-02 v1 Mathematical Physics
Functional Analysis
math.MP
Quantum Physics
Abstract
This thesis is dedicated to developing a dilation theory for semigroups of completely positive maps. The first part treats two-parameter semigroups, and contains also contributions to dilation theory of product system representations. The second part deals with completely positive semigroups parameterized by quite general semigroups, where the major technical tool introduced is subproduct systems and their representations. In the third part subproduct systems are studied, together with the multivariable operator theory and operator algebras they give rise to.
Keywords
Cite
@article{arxiv.1002.4920,
title = {Product systems, subproduct systems and dilation theory of completely positive semigroups},
author = {Orr Shalit},
journal= {arXiv preprint arXiv:1002.4920},
year = {2010}
}
Comments
PhD. thesis (Technion, Haifa). 195 pages. Supervisor: Baruch Solel. Defended on June 2009