Some weighted numerical radius inequalities
Functional Analysis
2022-04-19 v1
Abstract
The weighted numerical radius of a Hilbert space operator has been defined recently. This article explores other properties and uses this newly defined numerical radius to obtain several new interesting inequalities for the weighted numerical radius and the numerical radius. In particular, new identities for the numerical radius, further comparisons between the numerical radius and the real and imaginary parts, and some inequalities for sectorial operators will be presented.
Keywords
Cite
@article{arxiv.2204.07620,
title = {Some weighted numerical radius inequalities},
author = {Cristian Conde and Mohammad Sababheh and Hamid Reza Moradi},
journal= {arXiv preprint arXiv:2204.07620},
year = {2022}
}