$q$-Numerical Radius Estimates in Semi-Hilbertian Spaces and Their Relations with Matrix Means for Sectorial Matrices
Functional Analysis
2026-03-19 v1
Abstract
In this paper, the -numerical radius of operators in semi-Hilbertian spaces is studied. New characterizations are established, and sharp upper and lower bounds for the -numerical radius are derived. Moreover, several inequalities involving operator monotone functions and matrix means for the -numerical radius of sectorial matrices are obtained.
Cite
@article{arxiv.2603.17059,
title = {$q$-Numerical Radius Estimates in Semi-Hilbertian Spaces and Their Relations with Matrix Means for Sectorial Matrices},
author = {Jyoti Rani},
journal= {arXiv preprint arXiv:2603.17059},
year = {2026}
}