Algebraic pairs of isometries
classification
🧮 math.FA
math.AG
keywords
isometriespairspolynomialannihilatedcommutingalgebraicconditionconsider
read the original 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.
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