Mathematica Bohemica, Vol. 147, No. 4, pp. 547-566, 2022
Numerical radius inequalities for Hilbert $C^*$-modules
Sadaf Fakri Moghaddam, Alireza Kamel Mirmostafaee
Received May 10, 2021. Published online January 26, 2022.
Abstract: We present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert $C^*$-module spaces.
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Affiliations: Sadaf Fakri Moghaddam, Alireza Kamel Mirmostafaee (corresponding author), Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran, e-mail: sadaf.moghadam4@gmail.com, mirmostafaee@gmail.com
