A Schur Analysis of the Minimal Weak Unitary Dilations of a Contraction Operator and the Relaxed Commutant Lifting Theorem

摘要

A Schur-type analysis of the minimal weak unitary dilations of a given contraction operator is obtained from the Arov-Grossman functional model. The result is combined with the coupling method to give a description of the interpolants in the Relaxed Commutant Lifting Theorem.