Fujii, Masatoshi; Nakamoto, Ritsuo; Tominaga, Masaru Reverse of the grand Furuta inequality and its applications. (English) Zbl 1160.47014 Banach J. Math. Anal. 2, No. 2, 23-30 (2008). 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 [M. Fujii, R. Nakamoto and M. Tominaga, Linear Algebra Appl.426, No. 1, 33–39 (2007; Zbl 1127.47018)]. Reviewer: Jiangtao Yuan (Henan) Cited in 2 Documents MSC: 47A63 Linear operator inequalities 47B65 Positive linear operators and order-bounded operators Keywords:positive operator; Furuta inequality; grand Furuta inequality; Kantorovich inequality Citations:Zbl 1127.47018 PDFBibTeX XMLCite \textit{M. Fujii} et al., Banach J. Math. Anal. 2, No. 2, 23--30 (2008; Zbl 1160.47014) Full Text: DOI EuDML EMIS