On the clssification of multi-isometries
Functional Analysis
2007-05-23 v1
Abstract
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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Cite
@article{arxiv.math/0606257,
title = {On the clssification of multi-isometries},
author = {H. Bercovici and R. G. Douglas and C. Foias},
journal= {arXiv preprint arXiv:math/0606257},
year = {2007}
}
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17 pages