Characteristic functions of liftings–II
Operators and Matrices
We prove that the symbol of the characteristic function of a minimal contractive lifting is an injective map and that the converse also holds, using explicit computation and functional models. We discuss when the characteristic function of a lifting is a polynomial and present a series representation for the characteristic functions of liftings.
Dey, Santanu; Gohm, Rolf; and Haria, Kalpesh J., "Characteristic functions of liftings–II" (2018). Journal Articles. 1351.