Abstract
In this study, we work with the relative divergence of type
s,s\in {\mathbb{R}}
, which includes the Kullback-Leibler divergence and the Hellinger and χ
2 distances as particular cases. We study the symmetrized divergences in additive and multiplicative forms. Some basic properties such as symmetry, monotonicity and log-convexity are established. An important result from the convexity theory is also proved.
Optimal transport and unitary orbits in C⁎-algebras
