Description
Analysis seminar.
Speaker: Bata Krishna Das.
Affiliation: IIT Bombay.
Date and Time: Wednesday 04 March, 02:00 pm - 03:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Model of operators and their characteristic functions.
Abstract: In this talk, using Sz.-Nagy and Foias isometric dilation, we will de-scribe functional models of a class of operators. This will further lead us to define their characteristic functions which are complete unitary in- variants. We will also discuss the connection between invariant subspace problem and factorization of characteristic functions. If time permits we will see a recently developed multivariate analogue of these notions.