\(N\)-extremal matrices of measures for an indeterminate matrix moment problem

DOI10.1006/jfan.2000.3585zbMath0983.42016OpenAlexW2053955148MaRDI QIDQ1577663

Antonio J. Duran, Pedro Lopez-Rodriguez

Publication date: 6 February 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3585

zbMATH Keywords

moment problemmatrix orthogonal polynomialsextremal measure

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (9)

Spectral properties of block Jacobi matrices ⋮ On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems ⋮ On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line ⋮ Density of polynomials in some \(L^{2}\) spaces on radial rays in the complex plane ⋮ On maximum mass measures in truncated matricial Hamburger moment problems and related interpolation problems ⋮ On maximal weight solutions of two matricial moment problems in the nondegenerate case ⋮ Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators ⋮ On Dyukarev's resolvent matrix for a truncated Stieltjes matrix moment problem under the view of orthogonal matrix polynomials ⋮ Extremal solutions of matricial Carathéodory problem and Nevanlinna–Pick-type interpolation for Carathéodory matrix functions in the nondegenerate case

Cites Work

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• Orthogonal matrix polynomials and higher-order recurrence relations
• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• A generalization of Favard's theorem for polynomials satisfying a recurrence relation
• Markov's Theorem for Orthogonal Matrix Polynomials
• THE SCATTERING PROBLEM FOR A DISCRETE STURM-LIOUVILLE OPERATOR
• Density Questions for the Truncated Matrix Moment Problem
• The Nevanlinna parametrization for a matrix moment problem
• On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
• Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)

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