SOME OPERATOR INEQUALITIES IN HILBERT $C^{*}$MODULES VIA THE OPERATOR PERSPECTIVE
نویسندگان
1 Department of Mathematics, Payame Noor University, Tehran, Iran.
2 Department of Mathematics, Payame Noor University, Tehran, Iran.
doi
10.22044/jas.2023.12626.1677چکیده
Some Hilbert $C^*$-module versions of H$\ddot{o}$lder-McCarthy and H$\ddot{o}$lder type inequalities and their complementary on a Hilbert $C^*$-module are obtained by Seo \cite{seo-2014}. The purpose of this paper is to extend these results for some operator convex (resp. concave) functions on a Hilbert $C^*$-module via the operator perspective approach. By choosing some elementary functions, we reach some new types of inequalities in Hilbert $C^*$-modules.
