Joint q -numerical ranges of operators in Hilbert and semi-Hilbert spaces
Abstract
This paper introduces and investigates the concept of the q-numerical range for tuples of bounded linear operators in Hilbert spaces. We establish various inequalities concerning the q-numerical radius associated with these operator tuples. Furthermore, we extend our study to define the q-numerical range in semi-Hilbert spaces and provide a proof of its convexity. Additionally, we explore several related results in this context.
Fields of Study & Subjects
Holomorphic and Operator Theory
Advanced Banach Space Theory
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Linear and Multilinear Algebra
- Publisher
- Informa UK Limited
- Volume
- 74
- Issue
- 3
- Pages
- 294–316
- Publication date
- 20 January 2026
- Language
- EN