Unitary equivalence to truncated Hankel operators

Authors

XI ZHAO
TAO YU

DOI

10.55730/1300-0098.3274

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

First Page

2366

Last Page

2376

Recommended Citation

ZHAO, XI and YU, TAO (2022) "Unitary equivalence to truncated Hankel operators," Turkish Journal of Mathematics: Vol. 46: No. 6, Article 22. https://doi.org/10.55730/1300-0098.3274
Available at: https://journals.tubitak.gov.tr/math/vol46/iss6/22