Equivalence relations among some inequalities on operator means. (English) Zbl 06820443

Wada, Shuhei; Yamazaki, Takeaki

Nihonkai Math. J. 27, No. 1-2, 1-15 (2016).

Summary: 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.

MSC:

47A64	Operator means involving linear operators, shorted linear operators, etc.
47A63	Linear operator inequalities

Keywords:

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