Rhombic numerical radius inequalities for Hilbert $C^{*}$-Modules
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In this paper, a new definition of the Rhombic numerical radius of two adjointable operators in Hilbert $C^{*}$-module space will be introduced, and some inequalities between the operator norm and the Rhombic numerical radius will be discussed, as well as some new results. The results of the present paper can be utilized to generalize some new refinements of the Rhombic numerical radius inequalities of two bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert $C^{*}$-module spaces.
Abstract
In this paper, a new definition of the Rhombic numerical radius of two adjointable operators in Hilbert $C^{*}$-module space will be introduced, and some inequalities between the operator norm and the Rhombic numerical radius will be discussed, as well as some new results. The results of the present paper can be utilized to generalize some new refinements of the Rhombic numerical radius inequalities of two bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert $C^{*}$-module spaces.
참고문헌 (20)
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