JournalszaaVol. 12, No. 2pp. 239–261

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

  • B. Fritzsche

    Universität Leipzig, Germany
  • B. Kirstein

    Universität Leipzig, Germany
On the Weyl Matrix Balls Associated with Nondegenerate Matrix-Valued Carathéodory Functions cover
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Abstract

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. 239–261

DOI 10.4171/ZAA/569