Algebraic pairs of isometries
Functional Analysis
2009-04-22 v1 Algebraic Geometry
Abstract
We consider pairs of commuting isometries that are annihilated by a polynomial. We show that the polynomial must be inner toral, which is a geometric condition on its zero set. We show that cyclic pairs of commuting isometries are nearly unitarily equivalent if they are annihilated by the same minimal polynomial.
Cite
@article{arxiv.0904.3130,
title = {Algebraic pairs of isometries},
author = {Jim Agler and John McCarthy and Greg Knese},
journal= {arXiv preprint arXiv:0904.3130},
year = {2009}
}