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# Density questions for the truncated matrix moment problem

Published:1997-08-01
Printed: Aug 1997
• Antonio J. Duran
• Pedro Lopez-Rodriguez
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## Abstract

For a truncated matrix moment problem, we describe in detail the set of positive definite matrices of measures $\mu$ in $V_{2n}$ (this is the set of solutions of the problem of degree $2n$) for which the polynomials up to degree $n$ are dense in the corresponding space ${\cal L}^2(\mu)$. These matrices of measures are exactly the extremal measures of the set $V_n$.
 MSC Classifications: 42C05 - Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45] 44A60 - Moment problems

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