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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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Unbounded Toeplitz operators and infinite matrices
by
Dariusz Cichon
Instytut Matematyki, Uniwersytet Jagiellonski, Kraków, Poland

We consider unbounded Toeplitz operators defined in the Segal-Bargmann spaces of entire vector-valued functions (i.e. the space of entire functions defined on Cn and square-intergrable with respect to the Gaussian measure). We present main problems concerning these operators and, among others, some partial results on description of adjoint of Toeplitz operator. The last-mentioned topic is related to problem of polynomial L2-approximation of entire functions as well as selfadjointness of some infinite matrices.

Date received: June 5, 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-51.