Joint $q$-Numerical Ranges of Operators in Hilbert and Semi-Hilbert Spaces
Functional Analysis
2024-10-08 v1
Abstract
This paper introduces and investigates the concept of the -numerical range for tuples of bounded linear operators in Hilbert spaces. We establish various inequalities concerning the -numerical radius associated with these operator tuples. Furthermore, we extend our study to define the -numerical range in semi-Hilbert spaces and provide a proof of its convexity. Additionally, we explore several related results in this context.
Cite
@article{arxiv.2410.03669,
title = {Joint $q$-Numerical Ranges of Operators in Hilbert and Semi-Hilbert Spaces},
author = {Kais Feki and Arnab Patra and Jyoti Rani and Zakaria Taki},
journal= {arXiv preprint arXiv:2410.03669},
year = {2024}
}
Comments
21 pages