SOME OPERATOR INEQUALITIES IN HILBERT C^{*}MODULES VIA THE OPERATOR PERSPECTIVE

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-۲۰۱۴}. 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.

کلیدواژه ها:

Operator convex function ، adjointable operators ، perspective function ، H\ddot{o}lder inequality