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.
| Original language | English |
|---|---|
| Pages (from-to) | 215-236 |
| Number of pages | 22 |
| Journal | Journal of Operator Theory |
| Volume | 67 |
| Issue number | 1 |
| State | Published - Dec 2012 |