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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Constructive approximation 15 (1999), S. 135-151 
    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
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