Reverse and improved inequalities for operator monotone functions

Sever Dragomir

Abstract


In this paper we provide several refinements and reverse operator inequalities for operator monotone functions in Hilbert spaces. We also obtain refinements and a reverse of Lowner-Heinz celebrated inequality that holds in the case of power function.

Keywords


Operator monotone functions; Lowner-Heinz inequality; logarithmic operator inequality

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References


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DOI: http://dx.doi.org/10.17951/a.2020.74.2.19-29
Data publikacji: 2020-12-28 17:41:56
Data złożenia artykułu: 2020-12-27 16:38:28


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