On the estimation of the $q$-numerical radius via Orlicz functions
Functional Analysis
2025-04-30 v1
Abstract
This study utilizes Orlicz functions to provide refined lower and upper bounds on the q-numerical radius of an operator acting on a Hilbert space. Additionally, the concept of q-sectorial matrices is introduced and further bounds for the q-numerical radius are established. Our results unify several existing bounds for the q-numerical radius. Suitable examples are provided to supplement the estimations.
Cite
@article{arxiv.2504.20748,
title = {On the estimation of the $q$-numerical radius via Orlicz functions},
author = {Fuad Kittaneh and Arnab Patra and Jyoti Rani},
journal= {arXiv preprint arXiv:2504.20748},
year = {2025}
}