Ideal membership in the algebra of bounded analytic functions: Toeplitz corona approach
Speaker:
Brett Wick, Washington University in Saint Louis
Date and Time:
Wednesday, November 10, 2021 - 11:00am to 11:50am
Location:
Online
Abstract:
This talk discusses the ideal membership problem in H∞ on the unit disc. Given functions f,f1,…,fn in H∞, we seek sufficient conditions on the size of f in order for f to belong to the ideal of H∞ generated by f1,…,fn. We provide a different proof of a theorem of Treil, which gives the sharpest known sufficient condition. To this end, we solve a closely related problem in the Hilbert space H2, which is equivalent to the ideal membership problem by the Nevanlinna--Pick property of H2.
This talk is based on joint work with Michael Hartz.