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

Publish Year: 1404
Type: Journal paper
Language: English
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JR_JAS-13-1_007

Index date: 30 January 2025

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

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

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

Ismail Nikoufar

Department of Mathematics, Payame Noor University, Tehran, Iran.

Zahra Baghernezhad Shayan

Department of Mathematics, Payame Noor University, Tehran, Iran.

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