Commutant lifting, Interpolation and Toeplitz Operators
Speaker: Deepak KD
Indian Statistical Institute, Bangalore
| Speaker |
Speaker: Deepak KD
Indian Statistical Institute, Bangalore
|
|---|---|
| When |
Oct 06, 2023
from 11:00 AM to 12:00 PM |
| Where | LH-006 (TIFR CAM) |
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Abstract:
In this talk, we will present two classifications of commutant lifting on the polydisc. The first classification will link the lifting problem to the contractivity of certain linear functionals. The second one will transform it into nonnegative real numbers. We will also discuss the solution to the Nevanlinna-Pick interpolation problem for bounded analytic functions on the polydisc. Along the way, we will outline a perturbation problem for Schur functions on the polydisc. The second half of the talk will be devoted to Toepliz operators on the polydisc and commutant lifting and interpolation in the setting of open unit ball.