IUMJ

Title: Unitary equivalence to truncated Toeplitz operators

Authors: Dan Timotin, Elizabeth Strouse and Mohamed Zarrabi

Issue: Volume 61 (2012), Issue 2, 525-538

Abstract:

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 [J.A. Cima, S.R. Garcia, W.T. Ross, and W.R. Wogen, \textit{Truncated Toeplitz operators: spatial isomorphism, unitary equivalence, and similarity}, Indiana Univ. Math. J. \textbf{59} (2010), no. 2, 595--620].