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Density Questions for the Truncated Matrix Moment Problem

Published online by Cambridge University Press:  20 November 2018

Antonio J. Duran  and
Pedro Lopez-Rodriguez
Antonio J. Duran
Affiliation:
Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, 41080 Sevilla, Spain e-mail: duran@cica.es, e-mail: duran@cica.es, e-mail: plopez@cica.es
Pedro Lopez-Rodriguez
Affiliation:
Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, 41080 Sevilla, Spain e-mail: duran@cica.es, e-mail: duran@cica.es, e-mail: plopez@cica.es
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Abstract

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For a truncated matrix moment problem, we describe in detail the set of positive definite matrices of measures μ in V2n (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 L2(μ). These matrices of measures are exactly the extremal measures of the set Vn.

Keywords

42C054A60
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 4 , 01 August 1997 , pp. 708 - 721
Copyright
Copyright © Canadian Mathematical Society 1997

References

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