Algebras of Toeplitz matrices with quaternion entries

Authors

  • Muhammad Ahsan Khan Department of Mathematics University of Kotli Azad Jammu and Kashmir
  • Ameur Yagoub Laboratoire de mathematiques pures et appliquees Universite de Amar Telidji. Laghouat.

DOI:

https://doi.org/10.30495/jme.v18i0.3177

Keywords:

Quaternions, Toeplitz matrices, maximal algebras

Abstract

The problem of characterizing the maximal left algebras of Toeplitz matrices with quaternion entries is a complex as well as a harder problem that has not received much attention until now. In the current paper, we introduce certain families of maximal left algebras of Toeplitz matrices with entries from an algebra of quaternions that cover various classes of the left algebras of quaternion Toeplitz matrices.

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Published

2025-02-05

Issue

Vol. 18

Section

Vol. 18, No. 10, (2024)

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