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19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

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Commuting triples of subnormal operators and related moment
by
Doru Paunescu
University "Politehnica" of Timisoara, Timisoara, Romania
Coauthors: Tudor Binzar (University "Politehnica" of Timisoara)

Using a new characterization for subnormality of a commuting triple of operators (which extend an theorem due to P. Gavruta and N. Suciu, for commuting pairs) we shall give necessary and sufficient conditions on a triple indexed sequence of vectors from a Hilbert space such that it can be expressed as moments of an appropriate triplet of commuting operators. We obtain an extension of Z. Sebestyen's similar result for simple sequences and D. Paunescu result for double sequences. The analogue problem for triple indexed sequences of operators acting on a Hilbert spaces is also obtained.

Date received: May 13, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caiz-13.