CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Density questions for the truncated matrix moment problem

  Published:1997-08-01
 Printed: Aug 1997
  • Antonio J. Duran
  • Pedro Lopez-Rodriguez
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

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, 44A60 show english descriptions Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45]
Moment problems
42C05 - Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45]
44A60 - Moment problems
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/