Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3274
Keywords
Truncated Hankel operator, unitary equivalence, model space
First Page
2366
Last Page
2376
Recommended Citation
ZHAO, X, & YU, T (2022). Unitary equivalence to truncated Hankel operators. Turkish Journal of Mathematics 46 (6): 2366-2376. https://doi.org/10.55730/1300-0098.3274