On the clssification of multi-isometries

Details On the clssification of multi-isometries On the clssification of multi-isometries

2006-06-11

arxiv.org/abs/math/0606257v1

Mathematics

Functional Analysis

17 pages

Scientific paper

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.

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