Algebraic pairs of isometries

Details Algebraic pairs of isometries Algebraic pairs of isometries

2009-04-20

arxiv.org/abs/0904.3130v1

Mathematics

Functional Analysis

Scientific paper

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.

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