Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions
Functional Analysis
2011-03-08 v1
Abstract
We develop a -variable analog of the two-component de Bran-ges-Rovnyak reproducing kernel Hilbert space associated with a Schur-class function on the unit disk. In this generalization, the unit disk is replaced by the unit ball in -dimensional complex Euclidean space, and the Schur class becomes the class of contractive multipliers on the Drury-Arveson space over the ball. We also develop some results on a model theory for commutative row contractions which are not necessarily completely noncoisometric (the case considered in earlier work of Bhattacharyya, Eschmeier and Sarkar)
Keywords
Cite
@article{arxiv.1103.1369,
title = {Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions},
author = {Joseph A. Ball and Vladimir Bolotnikov},
journal= {arXiv preprint arXiv:1103.1369},
year = {2011}
}