Open Access
2016 A refinement of the grand Furuta inequality
Masatoshi Fujii, Ritsuo Nakamoto
Nihonkai Math. J. 27(1-2): 117-123 (2016).


A refinement of the Löwner--Heinz inequality has been discussed by Moslehian--Najafi. In the preceding paper, 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.


Download Citation

Masatoshi Fujii. Ritsuo Nakamoto. "A refinement of the grand Furuta inequality." Nihonkai Math. J. 27 (1-2) 117 - 123, 2016.


Received: 18 January 2016; Revised: 11 June 2016; Published: 2016
First available in Project Euclid: 14 September 2017

zbMATH: 06820451
MathSciNet: MR3698245

Primary: 47A63
Secondary: 47A30 , 47B10

Keywords: ‎Furuta inequality , ‎Grand Furuta inequality , Löwner--Heinz inequality

Rights: Copyright © 2016 Niigata University, Department of Mathematics

Vol.27 • No. 1-2 • 2016
Back to Top