Unitary automorphisms of the space of Toeplitz matrices

DOI10.1134/S106456241403017XzbMath1306.15028OpenAlexW2022992469MaRDI QIDQ471379

Khakim D. Ikramov

Publication date: 14 November 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456241403017x

zbMATH Keywords

similarity transformationsspace of Toeplitz matricesunitary automorphisms

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Unitary automorphisms of the space of \((T+H)\)-matrices of order four, A duality relation for unitary automorphisms in the spaces of Toeplitz and Hankel matrices, Unitary automorphisms of the space of \((T+H)\)-matrices, Unitary similarity automorphisms of the space of \(3 \times 3\) Toeplitz-plus-Hankel matrices, Similarity and consimilarity automorphisms of the space of Toeplitz matrices, Unitary automorphisms of the space of Hankel matrices, Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices, Centrosymmetric property of unitary matrices that preserve the set of \((T+H)\)-matrices under similarity transformations