Unitary equivalence to truncated Toeplitz operators
Elizabeth StrouseDan TimotinMohamed Zarrabi
47B3547B3247A45model spacestruncated Toeplitz operatorsunitary equivalence
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].
Indiana University Mathematics Journal
2012
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10.1512/iumj.2012.61.4562
10.1512/iumj.2012.61.4562
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Indiana Univ. Math. J. 61 (2012) 525 - 538
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