On maximal weight solutions in a truncated trigonometric matrix moment problem

DOI10.7169/FACM/1291903393zbMath1217.30035OpenAlexW2045489552MaRDI QIDQ617791

Andreas Lasarow

Publication date: 13 January 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1291903393

zbMATH Keywords

matrix measurematrix moment problemmaximal weight

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (3)

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 ⋮ Extremal solutions of matricial Carathéodory problem and Nevanlinna–Pick-type interpolation for Carathéodory matrix functions in the nondegenerate case

Cites Work

• Orthogonal rational functions and quadrature on the unit circle
• The commutant lifting approach to interpolation problems
• Interpolation of rational matrix functions
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Density Questions for the Truncated Matrix Moment Problem
• On rank invariance of moment matrices of nonnegative Hermitian-valued Borel measures on the unit circle
• On a class of extremal solutions of the nondegenerate matricial Carathéodory problem
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