Characteristic Functions for Ergodic Tuples
Abstract
Description
Motivated by a result on weak Markov dilations, we define a notion of characteristic function for ergodic and coisometric row contractions with a one-dimensional invariant subspace for the adjoints. This extends a definition given by G. Popescu. We prove that our characteristic function is a complete unitary invariant for such tuples and show how it can be computed.
22 pages, changes made after referee's comments, to appear in Integral Equations and Operator Theory
22 pages, changes made after referee's comments, to appear in Integral Equations and Operator Theory