Algebraic pairs of isometries

Authors

Jim Agler, University of California - San Diego
Greg Knese, University of Alabama - Tuscaloosa
John E. McCarthy, Washington University in St Louis

Author's Department

Mathematics

Document Type

Article

Publication Date

2012

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.

Comments

Author version. Final version is published in Journal of Operator Theory 67 (2012), no. 1, 215–236. © Copyright 2012 by THETA.

Recommended Citation

Agler, Jim; Knese, Greg; and McCarthy, John E., "Algebraic pairs of isometries" (2012). Mathematics Faculty Publications. 9.
https://openscholarship.wustl.edu/math_facpubs/9

Embargo Period

1-3-2013