Email this article Similarity and Consimilarity Automorphisms of the Space of Toeplitz Matrices
- Authors: Abdikalykov A.K.1, Ikramov K.D.2
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Affiliations:
- Lomonosov Moscow State University, Kazakhstan Branch
- Lomonosov Moscow State University
- Issue: Vol 240, No 6 (2019)
- Pages: 707-714
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242822
- DOI: https://doi.org/10.1007/s10958-019-04387-7
- ID: 242822
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Abstract
Let Tn be the set of complex Toeplitz n × n matrices. The paper describes the matrices U in the linear group GLn(ℂ) such that
\( \forall A\in {T}_n\to {U}^{-1} AU\in {T}_n \)![]()
and also the matrices U ∈ GLn(ℂ) such that
\( \forall A\in {T}_n\to {U}^{-1}A\overline{U}\in {T}_n. \)![]()
About the authors
A. K. Abdikalykov
Lomonosov Moscow State University, Kazakhstan Branch
Author for correspondence.
Email: adiko2008@gmail.com
Kazakhstan, Astana
Kh. D. Ikramov
Lomonosov Moscow State University
Email: adiko2008@gmail.com
Russian Federation, Moscow
