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Zbl 1160.47014
Fujii, Masatoshi; Nakaoto, Ritsuo; Tominaga, Masaru
Reverse of the grand Furuta inequality and its applications. (English)
[J] Banach J. Math. Anal. 2, No. 2, 23-30, electronic only (2008). ISSN 1735-8787/e

Let $A, B \geq 0$ be bounded operators acting on a Hilbert space. It is well-known that there are close relations between the Furuta inequality and the Kantorovich inequality: the Kantorovich inequality is often used to give the reverse inequalities of Furuta type inequalities. This paper is just on the line of this idea and presents a continuation of [{\it M. Fujii}, {\it R. Nakamoto} and {\it M. Tominaga}, Linear Algebra Appl.\ 426, No. 1, 33--39 (2007; Zbl 1127.47018)].
[Jiangtao Yuan (Henan)]

MSC 2000:: *47A63 Operator inequalities, etc.
47B65 Positive and order bounded operators

Keywords: positive operator; Furuta inequality; grand Furuta inequality; Kantorovich inequality

Citations: Zbl 1127.47018

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