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Unitary automorphisms of the space of Hankel matrices. II: The case of even order. (English. Russian original) Zbl 1391.15096

Math. Notes 98, No. 1, 90-97 (2015); translation from Mat. Zametki 98, No. 1, 76-84 (2015).
Summary: Earlier, for odd \(n\), the author described unitary \(n\times n\) matrices \(U\) with the following property: if \(H\) is a Hankel matrix, then \(U^\ast HU\) is a Hankel matrix as well. In the present paper, it is shown that this description also holds for even n starting from \(n = 4\).
For Part I, see [Kh. D. Ikramov, Math. Notes 96, No. 6, 678–685 (2014; Zbl 1315.15029); translation from Mat. Zametki 96, No. 5, 687–696 (2014)].

MSC:

15B05 Toeplitz, Cauchy, and related matrices
15A21 Canonical forms, reductions, classification

Citations:

Zbl 1315.15029
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References:

[1] Kh. D. Ikramov, “Unitary automorphisms of the space of Hankel matrices,” Mat. Zametk 96 (5), 687-696 (2014) [Math. Notes 96 (5-6), 678-685 (2014)]. · Zbl 1315.15029 · doi:10.4213/mzm10440
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