C.A. Micchelli, P.W. Smith, et al.
Constructive Approximation
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.
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