Lifting Q-commuting and Q-intertwining operators
Abstract
There are several proofs of the classical commutant lifting and intertwining lifting theorems in the literature. In this article, we present analogous proofs to a few Q-commuting lifting and Q-intertwining lifting theorems. We provide several proofs and show explicit constructions of Ando-type dilations for a pair of Q-commuting contractions (T1,T2) when Q is a bounded operator. We establish a few connections of these results with graph theory.
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