Geodesic
Unitary Automorphisms of the Space of Hankel Matrices
Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 687-696.

Voir la notice de l'article provenant de la source Math-Net.Ru

For an odd $n$, a description is given of unitary $n\times n$ matrices $U$ with the following property: if $H$ is a Hankel $n\times n$ matrix, then $U^*HU$ is a Hankel matrix as well.
Keywords: Hankel matrix, unitary matrix, backward identity matrix
Mots-clés : automorphism. 
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Kh. D. Ikramov. Unitary Automorphisms of the Space of Hankel Matrices. Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 687-696. http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a4/

[1] Kh. D. Ikramov, “Unitarnye avtomorfizmy prostranstva teplitsevykh matrits”, Dokl. RAN, 456:4 (2014), 389–391

[2] I. S. Iokhvidov, Gankelevy i teplitsevy matritsy i formy. Algebraicheskaya teoriya, Nauka, M., 1974 | MR

[3] V. V. Voevodin, E. E. Tyrtyshnikov, Vychislitelnye protsessy s teplitsevymi matritsami, Nauka, M., 1987 | MR | Zbl