Work

Lifting $Q$-commuting and $Q$-intertwining operators

Year: 2022

Type: preprint

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 $Q$-commuting lifting and $Q$-intertwining lifting theorems. We provide several proofs and show explicit constructions of Ando-type dilations for a pair of $Q$-commuting contractions $(T_1,T_2)$ when $Q$ is a bounded operator. We establish a few connections of these results with graph theory.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2210.12848

Authors: Pal, Sourav, Sahasrabuddhe, Prajakta

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Council of Scientific and Industrial Research, India, Indian Institute of Technology Bombay, Science and Engineering Research Board

OpenAlex ID: W4307313770

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