C.A. Micchelli
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Paper
On factorization of biinfinite totally positive block toeplitz matrices
Abstract
We extend the work of Aissen, Schoenberg, Whitney, and Edrei, who characterized the symbol of a totally positive Toe- plitz matrix, to characterizing the determinant of the symbol of a block Toeplitz totally positive matrix. As a consequence of our arguments we show that the symbol for the block Toeplitz case may be factored just as in the Toeplitz setting. © 1986 Rocky Mountain Mathematics Consortium.