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18th International Conference on Operator Theory
June 27 - July 1, 2000
University of the West
Timisoara, Romania

Organizers
Dumitru Gaspar, Traian Ceausu, Aurelian Craciunescu, Aurelian Gheondea, Radu-Nicolae Gologan, Ciprian Pop, Dan Popovici, Nicolae Suciu, Alexandru Terescenco, Dan Timotin, Flavius Turcu

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Invariant subspaces of certain R-diagonal elements
by
Ken Dykema
Texas A&M University
Coauthors: Uffe Haagerup (SDU-Odense University)

For Voiculescu's circular operator and the related circular free Poisson operators, we find invariant subspaces affiliated to the von Neumann algebra each generates.

The proof depends on a representation of these operators as upper-triangular matrices whose entries are free. This representation is in turn found using upper triangular random matrices. These matrix models are derived from Voiculescu's matrix model for the circular operator using a result of F. Dyson.

To download the paper: "Invariant subspaces of Voiculescu's circular operator"

Date received: May 25, 2000

Copyright © 2000 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 # caeo-31.