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

Author(s):

Ismail Nikoufar * , Zahra Baghernezhad Shayan

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Keywords:

Operator Convex Function , Adjointable Operators , Perspective Function , H$ , Ddot{O}$Lder Inequality

Language:
English
Published:
Journal of Algebraic Systems, Volume:13 Issue: 1, Summer-Autumn 2025
Pages:
89 to 103
https://www.magiran.com/p2820707