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On Rank Invariance of Schwarz-Pick-Potapov Block Matrices of Matricial Schur Functions |
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| Authors: | Fritzsche Bernd Kirstein Bernd Lasarow Andreas |
| Affiliation: | (1) Fakultät für Mathematik und Informatik, Universität Leipzig, Augustusplatz 10, 04109 Leipzig, Germany;(2) Max-Planck-Institut für Mathematik in den Naturwissenschaften, Niigata University, Inselstrasse 22-26, 04103 Leipzig, Germany |
| Abstract: | We derive statements on rank invariance of Schwarz-Pick-Potapovblock matrices of matrix-valued Schur functions. The rank of these blockmatrices coincides with the rank of some block matrices built from the correspondingsection matrices of Taylor coefficients. These results are applied tothe discussion of a matrix version of the classical Schur-Nevanlinna algorithm. |
| Keywords: | Primary: 30E05 47A57 |
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