Generalized Hellinger metric and Audenaert's in-betweenness
Let σ and τ be Kubo-Ando means . In this article we consider the in-betweenness property  for τ with respect to the generalized Hellinger metric induced by σ. That is, we show that when dσ represents the generalized Hellinger metric corresponding to σ, dσ(A,AτB)≤dσ(A,B).
Linear Algebra and Its Applications
Digital Object Identifier (DOI)
Dumitru, R., Franco, J.A. (2020) Generalized Hellinger metric and Audenaert's in-betweenness. Linear Algebra and Its Applications, 585, 191-198.