On the Dilation of Truncated Toeplitz Operators II

Abstract

In this paper, we focus on properties of the dilation of truncated Toeplitz operators on L-2. In particular, we provide necessary and sufficient conditions for the dilation of truncated Toeplitz operators to be nonnegative and self-adjoint. Finally, we study the symbols phi and psi when the dilation of truncated Toeplitz operators, S-phi,S-psi (defined below), is normal.