Similarity and Consimilarity Automorphisms of the Space of Toeplitz Matrices

descriptionPublicationkeyboard_double_arrow_right Article 28 Jun 2019 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Sciences, volume 240, pages 707-714 (issn: 1072-3374, eissn: 1573-8795,

Authors: Kh. D. Ikramov; A. K. Abdikalykov;

doi: 10.1007/s10958-019-04387-7

Similarity and Consimilarity Automorphisms of the Space of Toeplitz Matrices

- Summary
- Related research
  (2)
- Metrics

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 $$ \forall A\in {T}_n\to {U}^{-1}A\overline{U}\in {T}_n. $$

Related Organizations

Lomonosov Moscow State University
Russian Federation

2 Research products, page 1 of 1

Ordered probability spaces
2017IsAmongTopNSimilarDocuments
Linear systems attached to cyclic inertia
1999IsAmongTopNSimilarDocuments

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average