Canonical Models For Bi-Isometries
Functional Analysis
2010-12-07 v1
Abstract
A canonical model, analogous to the one for contraction operators, is introduced for bi-isometries, two commuting isometries on a Hilbert space. This model involves a contractive analytic operator-valued function on the unit disk. Various pureness conditions are considered as well as bi-isometries for which both isometries are shifts. Several families of examples are introduced and classified.
Cite
@article{arxiv.1012.0942,
title = {Canonical Models For Bi-Isometries},
author = {Hari Bercovici and Ronald G. Douglas and Ciprian Foias},
journal= {arXiv preprint arXiv:1012.0942},
year = {2010}
}