On the product of dilation of truncated Toeplitz operators

Abstract

In this paper we study when the product of two dilations of truncated Toeplitz operators gives a dilationof a truncated Toeplitz operator. We will use an approach established in a recent paper written by Ko and Lee. Thisapproach allows us to represent the dilation of the truncated Toeplitz operator via a 2 × 2 block operator.