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Toeplitz Operators and matrices, eigenvalue distribution, spectrum and attracting features
by
Elizabeth Strouse
University of Bordeaux
Coauthors: Stefano Serra Capizzano, Deborah Sesana
and
Benoit Barrusseau
There is a natural way to see a Toeplitz operator as a 'limit' of Toeplitz matrices (by taking the upper right hand corners) and a simple and fun way to see that the average of the eigenvalues of these matrices often converges to the average of the integral of the function on the right set (this is called the 'Szego theorem). I will talk about recent results applying this result to products of Toeplitz operators, and maybe (if there is time) about our attempts to find something out about the spectrum of Bergman space Toeplitz operators.
Date received: February 20, 2008
Copyright © 2008 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 # cavq-62.