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SUBNORMALITY AND OPERATOR MULTIDIMENSIONAL MOMENT PROBLEMS

Published online by Cambridge University Press:  06 April 2005

ZENON J. JABŁOŃSKI  and
JAN STOCHEL
ZENON J. JABŁOŃSKI
Affiliation:
Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059 Kraków, Polandjablonsk@im.uj.edu.pl, stochel@im.uj.edu.pl
JAN STOCHEL
Affiliation:
Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059 Kraków, Polandjablonsk@im.uj.edu.pl, stochel@im.uj.edu.pl
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Abstract

Characterizations of subnormality due to Trent are extended to finite systems of operators, thus generalizing results of Gãvruţã and Suciu (subnormal pairs) and Binzar and Pãunescu (subnormal triplets). Vector and operator multidimensional moment problems with jointly subnormal solutions are characterized entirely in terms of the initial data. Bounded as well as unbounded solutions are taken into consideration.

Keywords

47B2047A57 (primary)47B1544A60 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 438 - 466
Copyright
The London Mathematical Society 2005

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Footnotes

This work was supported by KBN grant 2 P03A 037 024.