论文标题
提升$ q $ - 委托和$ Q $ - 互换运算符
Lifting $Q$-commuting and $Q$-intertwining operators
论文作者
论文摘要
有几个证据证明了经典的换向提升和交织文献中的定理。在本文中，我们向几个$ q $的提升和$ q $ - 互换升降定理提供了类似的证明。我们提供了几种证明，并显示了一对$ q $ conmuting收缩$（T_1，T_2）$的明确构造，当$ q $是有界运营商时。我们与图理论建立了这些结果的一些联系。
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 $(T_1,T_2)$ when $Q$ is a bounded operator. We establish a few connections of these results with graph theory.
