Open Access
2016 Equivalence relations among some inequalities on operator means
Shuhei Wada, Takeaki Yamazaki
Nihonkai Math. J. 27(1-2): 1-15 (2016).


We will consider some inequalities on operator means for more than three operators, for instance, ALM and BMP geometric means will be considered. Moreover, log-Euclidean and logarithmic means for several operators will be treated.

Funding Statement

This work is based on research supported by the INOUE ENRYO Memorial Foundation for Promoting Sciences.


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Shuhei Wada. Takeaki Yamazaki. "Equivalence relations among some inequalities on operator means." Nihonkai Math. J. 27 (1-2) 1 - 15, 2016.


Received: 6 August 2015; Revised: 10 February 2016; Published: 2016
First available in Project Euclid: 14 September 2017

zbMATH: 06820443
MathSciNet: MR3698237

Primary: 47A64
Secondary: 47A30 , 47A63

Keywords: ALM mean , BMP mean , Karcher mean , logarithmic mean , log-Euclidean mean , operator mean , positive definite operators , power mean

Rights: Copyright © 2016 Niigata University, Department of Mathematics

Vol.27 • No. 1-2 • 2016
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