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Reverse of the grand Furuta inequality and its applications. (English) Zbl 1160.47014
Let $A,B\ge 0$ 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 [M. Fujii, R. Nakamoto and M. Tominaga, Linear Algebra Appl. 426, No. 1, 33–39 (2007; Zbl 1127.47018)].
MSC:
 47A63 Operator inequalities 47B65 Positive and order bounded operators