Inequalities related to Bourin and Heinz means with a complex parameter

Tamara Bottazzi, Rene Elencwajg, Gabriel Larotonda +1

A conjecture posed by S. Hayajneh and F. Kittaneh claims that given $A,B$ positive matrices, $0\le t\le 1$, and any unitarily invariant norm it holds $|||A^tB^{1-t}+B^tA^{1-t}|||\l…