On inequalities involving the spherical operator transforms
Functional Analysis
2025-04-01 v1
Abstract
This paper explores refinements of some operator norm inequalities through the generalized spherical Aluthge transform and the spherical Heinz transform. We introduce the spherical Schatten -norm for operator tuples and establish several related inequalities. Additionally, equality conditions for some of these inequalities are also presented. Furthermore, we define the (joint) Schatten -numerical radius and the Schatten hypo--norm for operator tuples, deriving some fundamental inequalities in this setting.
Cite
@article{arxiv.2503.24015,
title = {On inequalities involving the spherical operator transforms},
author = {Fuad Kittaneh and Satyajit Sahoo and Hranislav Stanković},
journal= {arXiv preprint arXiv:2503.24015},
year = {2025}
}