Author's Department

Mathematics

Document Type

Article

Publication Date

2013

Abstract

We show that whenever a contractive k-tuple T on a finite dimensional space H has a unitary dilation, then for any fixed degree N there is a unitary k-tuple U on a finite dimensional space so that q(T) = PHq(U)|H for all polynomials q of degree at most N.

Comments

First published in Proceedings of the American Mathematical Society in vol. 141, no. 2, (2013), published by the American Mathematical Society.

© Copyright 2012 American Mathematical Society Reverts to public domain 28 years from publication

Embargo Period

1-3-2013

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