A description of pairs of the quasi-commuting Toeplitz and Hankel matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 4, pp. 439-444

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We say that the square matrices $A$ and $B$ are of the same order quasi-commute if $AB=\sigma BA$ for some scalar $\sigma$. Classical relations of commutation and anti-commutation are particular cases of this definition. We give a complete description of pairs of the quasi-commuting Toeplitz and Hankel matrices for $\sigma\ne\pm1$.
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     author = {V. N. Chugunov and Kh. D. Ikramov},
     title = {A description of pairs of the quasi-commuting {Toeplitz} and {Hankel} matrices},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {439--444},
     publisher = {mathdoc},
     volume = {20},
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     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a6/}
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V. N. Chugunov; Kh. D. Ikramov. A description of pairs of the quasi-commuting Toeplitz and Hankel matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 4, pp. 439-444. http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a6/