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Zeitschrift für Analysis und ihre Anwendungen


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Volume 12, Issue 2, 1993, pp. 239–261
DOI: 10.4171/ZAA/569

Published online: 1993-06-30

On the Weyl Matrix Balls Associated with Nondegenerate Matrix-Valued Carathéodory Functions

B. Fritzsche[1] and B. Kirstein[2]

(1) Universität Leipzig, Germany
(2) Universität Leipzig, Germany

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.

Keywords: Matrix-valued Carathéodory functions, Weyl matrix balls, limit behaviour of the semi-radii

Fritzsche B., Kirstein B.: On the Weyl Matrix Balls Associated with Nondegenerate Matrix-Valued Carathéodory Functions. Z. Anal. Anwend. 12 (1993), 239-261. doi: 10.4171/ZAA/569