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

Abstract

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.

Citation

Download Citation

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

Information

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

zbMATH: 06820443
MathSciNet: MR3698237

Subjects:
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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