Canonical Models For Bi-Isometries

Details Canonical Models For Bi-Isometries Canonical Models For Bi-Isometries

2010-12-04

arxiv.org/abs/1012.0942v1

Mathematics

Functional Analysis

Scientific paper

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.

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