Nihonkai Mathematical Journal
- Nihonkai Math. J.
- Volume 27, Number 1-2 (2016), 117-123.
A refinement of the grand Furuta inequality
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.
Nihonkai Math. J., Volume 27, Number 1-2 (2016), 117-123.
Received: 18 January 2016
Revised: 11 June 2016
First available in Project Euclid: 14 September 2017
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47A63: Operator inequalities
Secondary: 47B10: Operators belonging to operator ideals (nuclear, p-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] 47A30: Norms (inequalities, more than one norm, etc.)
Fujii, Masatoshi; Nakamoto, Ritsuo. A refinement of the grand Furuta inequality. Nihonkai Math. J. 27 (2016), no. 1-2, 117--123. https://projecteuclid.org/euclid.nihmj/1505419745