A note on convergence of densities to free extreme value distributions

The concept of free extreme value distributions as universal limit laws for the spectral maximum of free noncommutative real random variables was discovered by Ben Arous and Voiculescu in 2006. This paper contributes to study the convergence of densities towards free extreme value distributions under the von Mises condition for sample distributions.
Comment: 15 pages. We modified Theorem 1.1, Example 3,6 and Remark 3.7