More accurate operator means inequalities

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Abstract

Our main target in this paper is to present new sharp bounds for inequalities that result when weighted operator means are filtered through positive linear maps and operator monotone functions.

As an application, we prove a refined reverse of the celebrated Golden–Thompson inequality.

Furthermore, we show how these inequalities can be squared.

Keywords

Young's inequality
Positive linear map
Operator inequality
Positive operator
Reverse inequality
Golden–Thompson inequality

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