Algebras of Toeplitz matrices with quaternion entries

Muhammad Ahsan Khan, Ameur Yagoub

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.

Keywords


Quaternions; Toeplitz matrices; maximal algebras

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