Motivated by work of Yu.L. Shmul'yan a pre-order and an equivalence relation on the set of operator-valued Schur class functions are introduced and the behavior of Redheffer linear fractional ...

Let $(X, \mathscr{B})$ be a standard Borel space, $R \subset X \times X$ an equivalence relation $\in \mathscr{B} \times \mathscr{B}$. Assume each equivalence class ...