Geodesic
Unitary Automorphisms of the Space of Hankel Matrices: II. The Case of Even Order
Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 76-84.

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Earlier, for odd $n$, the author described unitary $n\times n$ matrices $U$ with the following property: if $H$ is a Hankel matrix, then $U^*HU$ is a Hankel matrix as well. In the present paper, it is shown that this description also holds for even $n$ starting from $n = 4$.
Keywords: Hankel matrix, unitary matrix, backward identity matrix, similarity transformation.
Mots-clés : automorphism, Klein four-group 
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     title = {Unitary {Automorphisms} of the {Space} of {Hankel} {Matrices:} {II.} {The} {Case} of {Even} {Order}},
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Kh. D. Ikramov. Unitary Automorphisms of the Space of Hankel Matrices: II. The Case of Even Order. Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 76-84. http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a5/

[1] Kh. D. Ikramov, “Unitarnye avtomorfizmy prostranstva gankelevykh matrits”, Matem. zametki, 96:5 (2014), 687–696 | DOI