Matrix power means and new characterizations of operator monotone functions

Trung Hoa Dinh, Cong Trinh Le, The Van Nguyen +1

For positive definite matrices $A$ and $B$, the Kubo-Ando matrix power mean is defined as $$ P_μ(p, A, B) = A^{1/2}\left(\frac{1+(A^{-1/2}BA^{-1/2})^p}{2}\right )^{1/p} A^{1/2}\qua…