Tuesday, November 21, 2017
3:00 PM -
4:00 PM
Building 15, Room 131
Logic Seminar
Series: Logic Seminar Series
Interpolating sequences and Kadison-Singer
Michael Hartz,
Department of Mathematics,
Washington University in St. Louis,
A sequence $(z_n)$ in the unit disc is called an interpolating sequence for $H^\infty$ if for every bounded sequence of complex values $(w_n)$, there exists a bounded analytic function $f$ in the disc such that $f(z_n) = w_n$ for all $n$. Such sequences were characterized by Lennart Carleson. I will talk about a generalization of Carleson's theorem to other classes of functions. The proof of this result uses the solution of the Kadison-Singer problem due to Marcus, Spielman and Srivastava. This is joint work with Alexandru Aleman, John McCarthy and Stefan Richter.
Event Sponsors:
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].