The Corona Theorem and the Existence of Canonical Factorization of Triangular AP-Matrix Functions*

Using the corona theorem, canonical factorizability criteria for triangular almost periodic matrix-valued functions of the formwfe ijlj. ey0i ljxare obtained. This allows the authors to obtain effective criteria for the existence of canonical factorization as well as to construct explicit factorizations for new classes of almost periodic matrix functions in a companion paper.