Unitary equivalence to truncated Toeplitz operators

Elizabeth Strouse (1) , Dan Timotin (2) , Mohamed Zarrabi (1)

1 IMB - Institut de Mathématiques de Bordeaux
2 IMAR - "Simion Stoilow" Institute of Mathematics

In this paper we investigate operators unitarily equivalent to truncated Toeplitz operators. We show that this class contains certain sums of tensor products of truncated Toeplitz operators. In particular, it contains arbitrary inflations of truncated Toeplitz operators; this answers a question posed in a paper of J. Cima, S. Garcia, W. Ross, and W. Wogen.

Mots clés: Model spaces; truncated Toeplitz operators; unitary equivalence

Domaines: Analyse fonctionnelle [math.FA]; Algèbres d'opérateurs [math.OA]

Elizabeth Strouse, Dan Timotin, Mohamed Zarrabi. Unitary equivalence to truncated Toeplitz operators. Indiana University Mathematics Journal, 2012, 61 (2), pp.525-538. ⟨hal-00959059⟩