1
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
2
Department of Mathematics, Payame Noor University, Tehran, Iran
10.22044/jas.2023.12626.1677
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.
Nikoufar, I., & Baghernezhad Shayan, Z. (2024). Some operator inequalities in Hilbert $C^{*}$-modules via the operator perspective. Journal of Algebraic Systems, (), -. doi: 10.22044/jas.2023.12626.1677
MLA
Ismail Nikoufar; Zahra Baghernezhad Shayan. "Some operator inequalities in Hilbert $C^{*}$-modules via the operator perspective". Journal of Algebraic Systems, , , 2024, -. doi: 10.22044/jas.2023.12626.1677
HARVARD
Nikoufar, I., Baghernezhad Shayan, Z. (2024). 'Some operator inequalities in Hilbert $C^{*}$-modules via the operator perspective', Journal of Algebraic Systems, (), pp. -. doi: 10.22044/jas.2023.12626.1677
VANCOUVER
Nikoufar, I., Baghernezhad Shayan, Z. Some operator inequalities in Hilbert $C^{*}$-modules via the operator perspective. Journal of Algebraic Systems, 2024; (): -. doi: 10.22044/jas.2023.12626.1677