Fujii, Masatoshi; Nakamoto, Ritsuo A refinement of the grand Furuta inequality. (English) Zbl 06820451 Nihonkai Math. J. 27, No. 1-2, 117-123 (2016). Summary: A refinement of the Löwner-Heinz inequality has been discussed by Moslehian-Najafi [9]. In a preceding paper [3], we improved it and extended to the Furuta inequality. In this note, we give a further extension for the grand Furuta inequality. We also discuss it for operator means. A refinement of the arithmetic-geometric mean inequality is obtained. Cited in 1 Document MSC: 47A63 Linear operator inequalities 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) Keywords:Löwner-Heinz inequality; Furuta inequality; grand Furuta inequality PDF BibTeX XML Cite \textit{M. Fujii} and \textit{R. Nakamoto}, Nihonkai Math. J. 27, No. 1--2, 117--123 (2016; Zbl 06820451) Full Text: Euclid OpenURL