Unitary Automorphisms of the Space of Hankel Matrices: II. The Case of Even Order
Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 76-84
Cet article a éte moissonné depuis la source Math-Net.Ru
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
Mots-clés : automorphism, Klein four-group
@article{MZM_2015_98_1_a5,
author = {Kh. D. Ikramov},
title = {Unitary {Automorphisms} of the {Space} of {Hankel} {Matrices:} {II.} {The} {Case} of {Even} {Order}},
journal = {Matemati\v{c}eskie zametki},
pages = {76--84},
year = {2015},
volume = {98},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a5/}
}
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