On the product of dilation of truncated Toeplitz operators

On the product of dilation of truncated Toeplitz operators

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.

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