Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices. Generalizing this result, we give a complete description of unitary similarity automorphisms of the space of Toeplitz-plus-Hankel matrices.
@article{bwmeta1.element.doi-10_1515_spma-2015-0006,
author = {A.K. Abdikalykov and V.N. Chugunov and Kh.D. Ikramov},
title = {Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices},
journal = {Special Matrices},
volume = {3},
year = {2015},
zbl = {1326.15042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_spma-2015-0006}
}
A.K. Abdikalykov; V.N. Chugunov; Kh.D. Ikramov. Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices. Special Matrices, Tome 3 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_spma-2015-0006/
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