Algebraic and Measurable Sub-Product Systems
Date
2018-12
Authors
Krumer, Daniel
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Graduate Studies and Research, University of Regina
Abstract
Our main goal, in this thesis, is to conduct a thorough investigation of the math- ematical concept of sub-product system in relation to both quantum dynamical sys- tems and product systems. This notion originates in W. Arveson's pioneering work in non-commutative dynamics theory [5, 7]. The concept has been further extended and analyzed from various perspectives by D. Markiewicz [22], O. Shalit and B. Solel [28], and B.V.R. Bhat and M. Mukherjee [10], among others. The fundamental theme of this thesis is the analysis of relationship between sub- product systems and quantum dynamical semigroups, with emphasis on the role played by certain measurable structures, a role which has often been neglected in the literature. i
Description
A Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics, University of Regina. iv, 70 p.