Joint spectra of Toeplitzoperators and optimal recovery of analytic functions
Speaker:Prof. Michael Stessin
Professor of Department of Mathematics and Statistics
State University of New York
University at Albany
Date & Time:16 Dec 2010 (Thursday) 16:00 - 17:00
Venue:J322
Organized by:Department of Mathematics

Abstract

We consider optimal recovery problems in weighted Bergman spaces in the unit ball of \(\C^k\). We will show that if corresponding measures are Carleson and not compactly supported, optimal recovery algorithm is a limit of optimal recovery algorithms corresponding to truncated problems with compactly supported measures. We also express Lagrange equation for the dual problem in terms of joint spectra of T\"{o}eplitz operators induced by information measures and use this expression for proving that the regularity condition in the dual problem is stable.

Biography

Prof. Michael Stessin is currently a professor of the Department of Mathematics and Statistics of the State University of New York, University at Albany. His research interests are Approximation Theory; Complex Analysis; Functional Analysis and Operator Theory.