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Moment problem with contractive solutions: the regular case
Author(s):
Zenon
J.
Jablonski
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2811-2819.
MSC (2000):
Primary 47A20, 60G60;
Secondary 44A60, 47A57, 60G10
Posted:
May 2, 2007
MathSciNet review:
2317956
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Abstract:
An operator multivariate moment problem with contractive solutions having regular unitary dilation is characterized in terms of the initial data. This extends a recent result of Sebestyén and Popovici, but the ideas of our proof differ from those used by them. The connection between the operator multivariate moment problem and harmonizable multivariate discrete processes is mentioned.
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Additional Information:
Zenon
J.
Jablonski
Affiliation:
Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, PL-30059 Kraków, Poland
Email:
jablonsk@im.uj.edu.pl
DOI:
10.1090/S0002-9939-07-08796-5
PII:
S 0002-9939(07)08796-5
Keywords:
Systems of contractions with regular unitary dilations,
vector and operator moment problems,
harmonizable multivariate discrete processes
Received by editor(s):
December 29, 2005
Received by editor(s) in revised form:
May 18, 2006
Posted:
May 2, 2007
Additional Notes:
This work was supported by the KBN grant 2 P03A 037 024.
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
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