"Operator Tuples and Analytic Models over General Domains in Cⁿ"





Calin-Grigore Ambrozie

(Institute of Mathematics of the Romanian Academy)



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

Time: 14.30

Place: Mathematics Seminar Room, SA-141



Tea and cookies will be served before the seminar.