Produit D’opérateurs De Toeplitz Sur Un Espaces Modèle

In this article, we study the product of truncated Toeplitz operators on truncated model space, in 2010, Sedlock [6] studied this problem by showing that the product of two Toeplitz operators is a truncated Toeplitz operators truncated if and only if the two operators belong to a particular class called truncated Toeplitz operator of type α where α ∈ D, we are also interested in the description of C* -algebra generated by Toeplitz operator truncated.