Some Numerical radius inequalities
Functional Analysis
2018-11-21 v1
Abstract
In this work, a pre-Gr\"{u}ss inequality for positive Hilbert space operators is proved. So that, some numerical radius inequalities are proved. On the other hand, based on a non-commutative Binomial formula, a non-commutative upper bound for the numerical radius of the summand of two bounded linear Hilbert space operators is proved. A commutative version is also obtained as well.
Cite
@article{arxiv.1811.08025,
title = {Some Numerical radius inequalities},
author = {Mohammad W. Alomari},
journal= {arXiv preprint arXiv:1811.08025},
year = {2018}
}
Comments
10 pages