Recursive subnormal completion and the truncated moment problem

Authors
Ben Taher, R Rachidi, M Zerouali, EH
Citation
R. Ben Taher et al., Recursive subnormal completion and the truncated moment problem, B LOND MATH, 33, 2001, pp. 425-432
Citations number
9
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093 → ACNP
Volume
33
Year of publication
2001
Part
4
Pages
425 - 432
Database
ISI
SICI code
0024-6093(200107)33:<425:RSCATT>2.0.ZU;2-H
Abstract
The aim of this paper is to study properties of sequences that are recursiv ely defined by a linear equation and their applications to the truncated mo ment 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 t echniques.