Operator inequalities via the triangle inequality
Functional Analysis
2022-04-19 v1
Abstract
This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator applications include numerical radius inequalities and operator mean inequalities.
Cite
@article{arxiv.2204.07622,
title = {Operator inequalities via the triangle inequality},
author = {Shigeru Furuichi and Mohammad Sababheh and Hamid Reza Moradi},
journal= {arXiv preprint arXiv:2204.07622},
year = {2022}
}