Sharp operator mean inequalities of the numerical radii
Functional Analysis
2020-04-22 v1
Abstract
We present several sharp upper bounds and some extension for product operators. Among other inequalities, it is shown that if , , are non-negative continuous functions on such that , , then for all non-negative operator monotone decreasing function on , we obtain that As an application of the above inequality, it is shown that where, and .
Cite
@article{arxiv.2004.09663,
title = {Sharp operator mean inequalities of the numerical radii},
author = {Hosna Jafarmanesh and Maryam Khosravi},
journal= {arXiv preprint arXiv:2004.09663},
year = {2020}
}