ISSN:
1432-0940
Keywords:
Key words. Orthogonal matrix polynomials, Matrix moment problem. AMS Classification. 42C05, 44A60.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. We describe the image through the Stieltjes transform of the set of solutions V of a matrix moment problem. We extend Riesz's theorem to the matrix setting, proving that those matrices of measures of V for which the matrix polynomials are dense in the corresponding $ {\cal L} $ 2 space are precisely those whose Stieltjes transform is an extremal point (in the sense of convexity) of the image set.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s003659900101