Lifting $Q$-commuting and $Q$-intertwining operators
Functional Analysis
2022-10-25 v1 Operator Algebras
Abstract
There are several proofs of the classical commutant lifting and intertwining lifting theorems in the literature. In this article, we present analogous proofs to a few -commuting lifting and -intertwining lifting theorems. We provide several proofs and show explicit constructions of Ando-type dilations for a pair of -commuting contractions when is a bounded operator. We establish a few connections of these results with graph theory.
Keywords
Cite
@article{arxiv.2210.12848,
title = {Lifting $Q$-commuting and $Q$-intertwining operators},
author = {Sourav Pal and Prajakta Sahasrabuddhe},
journal= {arXiv preprint arXiv:2210.12848},
year = {2022}
}
Comments
Contains 52 pages. This is just a first draft and will be revised soon. This is a part of the PhD thesis of the second named author submitted to IIT Bombay on May, 2022