Unitary equivalence to truncated Hankel operators

Authors: XI ZHAO, TAO YU

Abstract: In this paper, we characterize the operators which are unitarily equivalent to truncated Hankel operators. We show that every rank one operator and every $2\times 2$ matrix is unitarily equivalent to a truncated Hankel operator. Furthermore, we get that certain sum of tenser products of truncated Hankel operators is unitarily equivalent to a truncated Hankel operator.

Keywords: Truncated Hankel operator, unitary equivalence, model space

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