Truncated Toeplitz Operators: Spatial Isomorphism, Unitary Equivalence, and Similarity

Joseph A. Cima, Stephan Ramon Garcia, William T. Ross +1

A truncated Toeplitz operator is the compression $A_ϕ:\K_Θ \to \K_Θ$ of a Toeplitz operator $T_{\varphi }:H^2\to H^2$ to a model space $\K_Θ := H^2 \ominus ΘH^2$. For $\Theta$ inner, let $\T_Θ$…