A Family of Maximal Algebras of Block Toeplitz Matrices

Abstract

The maximal commutative subalgebras containing only Toeplitz matrices have been identified as generalized circulants. A similar simple description cannot be obtained for block Toeplitz matrices. We introduce and investigate certain families of maximal commutative algebras of block Toeplitz matrices.

Keywords

• block toeplitz matrices
• maximal algebras
• generalized circulants
• primary 15b05
• secondary 47c05, 47l80