Similarity results for operators of class C_0

Analysis Seminar
Wednesday, September 5, 2012 - 14:00
1 hour (actually 50 minutes)
Skiles 005
Indiana University
The classification theorem for a C_0 operator describes its quasisimilarity class by means of its Jordan model. The purpose of this talk will be to investigate when the relation between the operator and its model can be improved to similarity. More precisely, when the minimal function of the operator T can be written as a product of inner functions satisfying the so-called (generalized) Carleson condition, we give some natural operator theoretic assumptions on T that guarantee similarity.