Numerical radius inequalities for Hilbert $C^{*}$-modules
Mathematica Bohemica, Tome 147 (2022) no. 4, pp. 547-566.

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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.
DOI : 10.21136/MB.2022.0066-21
Classification : 46C05, 47A12, 47C10
Keywords: numerical radius; inner product space; $C^*$-algebra
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Fakri Moghaddam, Sadaf; Kamel Mirmostafaee, Alireza. Numerical radius inequalities for Hilbert $C^{*}$-modules. Mathematica Bohemica, Tome 147 (2022) no. 4, pp. 547-566. doi : 10.21136/MB.2022.0066-21. http://geodesic.mathdoc.fr/articles/10.21136/MB.2022.0066-21/

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