Nihonkai Mathematical Journal

Equivalence relations among some inequalities on operator means

Shuhei Wada and Takeaki Yamazaki

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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.

Note

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

Article information

Source
Nihonkai Math. J., Volume 27, Number 1-2 (2016), 1-15.

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

Permanent link to this document
https://projecteuclid.org/euclid.nihmj/1505419737

Mathematical Reviews number (MathSciNet)
MR3698237

Zentralblatt MATH identifier
06820443

Subjects
Primary: 47A64: Operator means, shorted operators, etc.
Secondary: 47A30: Norms (inequalities, more than one norm, etc.) 47A63: Operator inequalities

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

Citation

Wada, Shuhei; Yamazaki, Takeaki. Equivalence relations among some inequalities on operator means. Nihonkai Math. J. 27 (2016), no. 1-2, 1--15. https://projecteuclid.org/euclid.nihmj/1505419737


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