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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

Information

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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