A duality relation for unitary automorphisms in the spaces of Toeplitz and Hankel matrices

A. K. Abdikalykov; Kh. D. Ikramov; V. N. Chugunov

doi:10.1134/S0001434616010016

A duality relation for unitary automorphisms in the spaces of Toeplitz and Hankel matrices

Authors: Abdikalykov A.K.¹, Ikramov K.D.², Chugunov V.N.³
Affiliations:
1. Kazakhstan Branch of Lomonosov Moscow State University
2. Lomonosov Moscow State University
3. Institute of Numerical Mathematics of Russian Academy of Sciences
Issue: Vol 99, No 1-2 (2016)
Pages: 3-8
Section: Article
URL: https://journal-vniispk.ru/0001-4346/article/view/149055
DOI: https://doi.org/10.1134/S0001434616010016
ID: 149055

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Abstract

The duality relation in the title of the paper is an identity between the groups of unitary automorphisms acting in the space of Toeplitz or Hankel matrices by similarity or congruence. A simple answer is given to the question why such identities can emerge.