On Preserving Structured Matrices Using Double Bracket Operators: Tridiagonal and Toeplitz Matrices
In the algebra of square matrices over the complex numbers, denotes Two problems are solved: (1) Find all Hermitian matrices M which have the following property: For every Hermitian matrix A, if A is tridiagonal, then so is (2) Find all Hermitian matrices M which have the following property: For every Hermitian matrix A, if A is Toeplitz, then so is
This article is published as Driessel, Kenneth R., Irvin R. Hentzel, and Wasin So. "On Preserving structured matrices using double bracket operators: Tridiagonal and Toeplitz matrices,” JP Journal of Algebra, Number Theory and Applications, 1, no. 2, (2001): 87-114. Posted with permission.