On the clssification of multi-isometries

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We consider the classification, up to unitary equivalence, of commuting n-tuples of isometries. We pay special attention to the case when the product of the isometries is a shift of finite multiplicity, and we provide a complete classification when this multiplicity equals n. When n=2, we identify a pivotal operator which captures many of the properties of a bi-isometry.
17 pages

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Functional Analysis, 47A45

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http://salesiana.dossiersoluciones.com/handle/123456789/113849

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606257
 http://arxiv.org/abs/math/0606257

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arXiv