Characteristic Functions for Ergodic Tuples
نویسندگان
چکیده
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. Mathematics Subject Classification (2000). Primary 47A20, 47A13; Secondary 46L53, 46L05.
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