In this contribution, we study the relationship between the CMV block matrices associated with two symmetric positive definite matrix measures supported on the unit circle. We also consider certain transformations of an orthogonality matrix measure …
Let 𝜎 be a Hermitian matrix measure supported on the unit circle. In this contribution, we study some algebraic and analytic properties of the orthogonal matrix polynomials associated with the Christoffel matrix transformation of 𝜎 defined by …
Given a sequence of moments {cn}n∈ℤ associated with an Hermitian linear functional L defined in the space of Laurent polynomials, we study a new functional L which is a perturbation of L in such a way that a finite number of moments are perturbed. …
In this paper, we consider perturbations to a sequence of moments associated with an orthogonality linear functional that is represented by a positive measure supported in [-1, 1]. In particular, given a perturbation to such a measure on the real …