Weighted numerical radius inequalities for operator and operator matrices
Functional Analysis
2023-02-24 v1
Abstract
The concepts of weighted numerical radius has been defined in recent times. In this article, we obtain several upper bound for weighted numerical radius of operators and operator matrices which generalize and improves some well known famous inequality for classical numerical radius. We also obtain an upper bound for the weighted numerical radius of the Aluthge transformation, of an operator where and be the canonical polar decomposition of
Cite
@article{arxiv.2302.11798,
title = {Weighted numerical radius inequalities for operator and operator matrices},
author = {Raj Kumar Nayak},
journal= {arXiv preprint arXiv:2302.11798},
year = {2023}
}