Functiones et Approximatio Commentarii Mathematici
- Funct. Approx. Comment. Math.
- Volume 43, Number 2 (2010), 117-128.
On maximal weight solutions in a truncated trigonometric matrix moment problem
The truncated trigonometric matrix moment problem is a well studied object. In particular, one can find in the literature the extremal value concerning the weight assigned to some point of the unit circle within the solution set of that matrix moment problem for the so-called non-degenerate situation and some special measure which realizes the extremal value. The primary concern of the paper is to give a basic proof for the fact that this distinguished measure is uniquely determined by that extremal feature.
Funct. Approx. Comment. Math., Volume 43, Number 2 (2010), 117-128.
First available in Project Euclid: 9 December 2010
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 30E05: Moment problems, interpolation problems
Secondary: 47A57: Operator methods in interpolation, moment and extension problems [See also 30E05, 42A70, 42A82, 44A60] 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
Lasarow, Andreas. On maximal weight solutions in a truncated trigonometric matrix moment problem. Funct. Approx. Comment. Math. 43 (2010), no. 2, 117--128. doi:10.7169/facm/1291903393. https://projecteuclid.org/euclid.facm/1291903393