On the estimation of the q-numerical radius via Orlicz functions

2025/04/29 by Kittaneh, Fuad, Patra, Arnab, Rani, Jyoti
#15A60 (Secondary) #46E30 #47A10 #47A12 (Primary) 47A30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2504.20748

Abstract

This study utilizes Orlicz functions to provide refined lower and upper bounds on the q-numerical radius of an operator acting on a Hilbert space. Additionally, the concept of q-sectorial matrices is introduced and further bounds for the q-numerical radius are established. Our results unify several existing bounds for the q-numerical radius. Suitable examples are provided to supplement the estimations.

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