2024/09/12 by Kais Feki, Arnab Patra, Feki, Kais +5
Computer Science · Mathematics · #47A05 #47A12 #47A30 #47A63 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.2410.03669
openalex publication_date 2024/09/12 · openalex created_date 2024/10/12 · openalex updated_date 2026/07/28
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.