Zeitschrift für Analysis und ihre Anwendungen


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Volume 14, Issue 3, 1995, pp. 431–439
DOI: 10.4171/ZAA/632

On the Operator-Valued Nevanlinna-Pick Problem

A. Ionescu (1)

(1) Department of Mathematics, Texas A&M University, TX 77843-3368, COLLEGE STATION, UNITED STATES

In this note we construct a specific Schur-Nevanlinna type algorithm that will be used in describing more precisely the solutions of the operator-valued Nevanlinna-Pick problem with the so-called method of Weyl circles. We also present an approach to the Pick criterion in the operator-valued setting.

Keywords: Cascade transformations, contractions, elementary rotations, operator-valued functions, positive definiteness