Next: Paddy McCrudden - Representations Up: Graduate Student Seminar / Previous: Ali Mahvidi - Invariant
Rubén A. Martínez-Avendaño - Some spectral properties of Hankel operators
RUBÉN A. MARTÍNEZ-AVENDAÑO, Department of Mathematics, University of Toronto, Toronto, Ontario M5S 3G3, Canada | |
Some spectral properties of Hankel operators |
We define Hankel operators and mention some of their basic properties. We discuss the proof of the following theorem: Given any compact subset of the complex plane containing zero, there exists a Hankel operator having this set as its spectrum. This theorem was first proven by Sergei Treil' a few years ago, but never published. With Treil's collaboration, we have written a detailed proof of the theorem.
eo@camel.math.ca