Characteristic Functions for Ergodic Tuples
Operator Algebras
2007-05-23 v2 Functional Analysis
Abstract
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.
Cite
@article{arxiv.math/0506560,
title = {Characteristic Functions for Ergodic Tuples},
author = {Santanu Dey and Rolf Gohm},
journal= {arXiv preprint arXiv:math/0506560},
year = {2007}
}
Comments
22 pages, changes made after referee's comments, to appear in Integral Equations and Operator Theory