Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions
Operator Algebras
2024-11-08 v1 Functional Analysis
Abstract
In this paper, several significant upper bounds for the numerical radius and -numerical radius of an element in a -algebra are obtained using Orlicz functions. Many well-known results are obtained from our findings, depending on specific choices of Orlicz functions.
Cite
@article{arxiv.2411.04875,
title = {Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions},
author = {Saikat Mahapatra and Riddhick Birbonshi and Arnab Patra},
journal= {arXiv preprint arXiv:2411.04875},
year = {2024}
}