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

Articles in Press

Document Type : Original Manuscript

Authors

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

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

References

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Journal of Algebraic Systems

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Available Online from 09 April 2024

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