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On a conjecture of Bhatia, Lim and Yamazaki

Authors: 

Trung Hoa Dinh, Raluca Dumitru, Jose A. Franco

Source title: 
Linear Algebra and its Applications, 532: 140-145, 2017 (ISI)
Academic year of acceptance: 
2017-2018
Abstract: 

In this short note we prove a conjecture due to Bhatia, Lim, and Yamazaki on the matrix power means. As a consequence, we obtain a related inequality for the matrix Heron mean and its non-Kubo–Ando extension, conjectured by Bhatia et al..