On the product of dilation of truncated Toeplitz operators

Authors: ZOHRA BENDAOUD, NAFISSA SAOULI

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

Keywords: Model space, truncated Toeplitz operator, dilation of truncated Toeplitz operator

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