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RECURSIVE SUBNORMAL COMPLETION AND THE TRUNCATED MOMENT PROBLEM

Published online by Cambridge University Press:  25 July 2001

R. BEN TAHER ,
M. RACHIDI  and
E. H. ZEROUALI
R. BEN TAHER
Affiliation:
Département de Mathématiques et Informatique, Faculté des Sciences, Université Moulay Ismael, B.P. 4010, Beni M'hamed, Méknés, Morocco; bentaher@fsmek.ac.ma
M. RACHIDI
Affiliation:
Département de Mathématiques et Informatique, Faculté des Sciences, Université Mohammed V-Agdal, B.P. 1014, Rabat, Morocco; rachidi@fsr.ac.mazerouali@fsr.ac.ma
E. H. ZEROUALI
Affiliation:
Département de Mathématiques et Informatique, Faculté des Sciences, Université Mohammed V-Agdal, B.P. 1014, Rabat, Morocco; rachidi@fsr.ac.mazerouali@fsr.ac.ma
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Abstract

The aim of this paper is to study properties of sequences that are recursively defined by a linear equation and their applications to the truncated moment problem in connection with the problem of subnormal completion of the truncated weighted shifts. Special cases are considered and some classical results due to Stampfli, Curto and Fialkow are recovered using elementary techniques.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 4 , July 2001 , pp. 425 - 432
Copyright
© The London Mathematical Society 2001

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