Algebraic pairs of isometries

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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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Functional Analysis, Algebraic Geometry, 47B20;14H50

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http://salesiana.dossiersoluciones.com/handle/123456789/227884

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.3130
 http://arxiv.org/abs/0904.3130

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arXiv