Numerical radius inequalities for Hilbert $C^*$-modules

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.

Bibliographic Details
Main Authors: Sadaf Fakri Moghaddam, Alireza Kamel Mirmostafaee
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2022-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/147/4/mb147_4_8.pdf
Description
Summary: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.
ISSN:0862-7959
2464-7136