"Operator Tuples and Analytic Models over General Domains in Cⁿ"
Abstract: For a class of Hilbert spaces of functions analytic on a domain in C^n, we characterize the n-tuples T of abstract Hilbert space operators that can be represented by means of multiplications by the coordinate functions. This generalizes the existence of a model for general contractions T on Hilbert spaces provided by the Nagy-Foias dilation theory (n=1).
Date: Wednesday, March 20, 2013
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.