The zeros of determinants of matrix-valued polynomials that are orthonormal on a semi-infinite or finite interval

Abstract

Let the sequence of matrix-valued polynomials be orthonormal with respect to a nonnegative matrix-valued measure . Assuming that, for some , the support of is contained in the closed set , or , the zeros of the polynomials are shown to lie in the open set , or , respectively. Bibliography: 10 titles.