Unitary N-dilations for tuples of commuting matrices

Authors

John E. McCarthy, Washington University in St Louis
Orr Moshe Shalit, University of Waterloo

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

Recommended Citation

McCarthy, John E. and Shalit, Orr Moshe, "Unitary N-dilations for tuples of commuting matrices" (2013). Mathematics Faculty Publications. 7.
https://openscholarship.wustl.edu/math_facpubs/7

Embargo Period

1-3-2013