The paper is aimed at a study of the limit behaviour of the normalized semi-radii of the Weyl matrix balls associated with a nondegenerate matrix-valued Carathodory function. It turns out that the ranks of the limits of these normalized semi-radii are constant within the unit disc. This enables us a new classification of matrix-valued Carathéodory functions.
Cite this article
B. Fritzsche, B. Kirstein, On the Weyl Matrix Balls Associated with Nondegenerate Matrix-Valued Carathéodory Functions. Z. Anal. Anwend. 12 (1993), no. 2, pp. 239–261DOI 10.4171/ZAA/569