On q-commuting co-extensions and q-commutant lifting

Authors

Bappa Bisai, Indian Statistical Institute, Kolkata
Sourav Pal, Indian Institute of Technology Bombay
Prajakta Sahasrabuddhe, Indian Institute of Technology Bombay

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

Abstract

Consider a nonzero contraction T and a bounded operator X satisfying TX=qXT for a complex number q. There are some interesting results in the literature on q-commuting dilation and q-commutant lifting of such pair (T,X) when |q|=1. Here we improve a few of them to the class of scalars q satisfying [Formula presented].

First Page

186

Last Page

205

DOI

https://10.1016/j.laa.2022.11.003

Publication Date

2-1-2023

Comments

Open Access, Green

Recommended Citation

Bisai, Bappa; Pal, Sourav; and Sahasrabuddhe, Prajakta, "On q-commuting co-extensions and q-commutant lifting" (2023). Journal Articles. 3865.
https://digitalcommons.isical.ac.in/journal-articles/3865