Journal of Approximation Theory vol:146 issue:2 pages:227-242
Rakhmanov's theorem for orthogonal polynomials on the unit circle gives a
sufficient condition on the orthogonality measure for orthogonal
polynomials on the unit circle, in order that the reflection coefficients
(the recurrence coefficients in the Szegö recurrence relation)
converge to zero. In this paper we give the analog for orthogonal
matrix polynomials on the unit circle.