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Improved reverse arithmetic-geometric means inequalities for positive operators on Hilbert space. (English) Zbl 1322.47020
Employing induction on a result of the first author et al. [ibid. 17, No. 2, 641–648 (2014; Zbl 1321.47019)], the authors present some reverse ratio type inequalities and reverse difference type inequalities of the arithmetic-geometric means inequality for two positive operators acting on a Hilbert space.

MSC:
47A30 Norms (inequalities, more than one norm, etc.) of linear operators
47A63 Linear operator inequalities
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