Workshop Operator Theory, November 2007


On the occasion of the PhD defense of Sanne ter Horst, on Friday November 30, 2007, a small workshop will be organized. The program is as follows.

Thursday November 29, room P 423

13:30-14:15 Sanne ter Horst: Relaxed commutant lifting: an equivalent problem and existence of a unique solution.

14:15-15:00 Art Frazho: Relaxed commutant lifting and limit theorems: Numerical examples

15:00-15:30 coffee break and room change.

Thursday, November 29, room R 223

15:30-16:15 Michael Dritschel: Realizations and Applications
Suppose $f$ is an analytic function mapping the disk to itself. Then the realization theorem states that there is a unitary operator $U = \begin{pmatrix} A & B \\ C & D \end{pmatrix}$ such that $f = D+Cz(I-Az)^{-1}B$. This idea is subject to vast generalisation with broad application. We discuss some of these here, including interpolation problems, generalised Schwarz-Pick inequalities, and rational dilation problems.

16:15-17:00 Henk de Snoo: Boundary relations, unitary colligations, and functional models
Joint work with Jussi Behrndt and Seppo Hassi


Friday, November 30, room R 239

10:30-11:15 Daniel Alpay: Boundary interpolation, reproducing kernel Pontryagin spaces and applications to rigidity problems.

11:15-12:00 Harm Bart: Vector-valued logarithmic residues and non-commutative Gelfand theory

12:00-13:15 lunch and room change

13:15-14:00 Rien Kaashoek: The continous analogue of the Sylvester matrix and an application

14:00-14:45 Andre Ran: Symmetric factorization, Riccati equations and Bezoutians


15:45-17:00 PhD defense in the aula in the main building