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# A Note on Noncommutative Interpolation

Published:2003-03-01
Printed: Mar 2003
• T. Constantinescu
• J. L. Johnson
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## Abstract

In this paper we formulate and solve Nevanlinna-Pick and Carath\'eodory type problems for tensor algebras with data given on the $N$-dimensional operator unit ball of a Hilbert space. We develop an approach based on the displacement structure theory.
 MSC Classifications: 47A57 - Operator methods in interpolation, moment and extension problems [See also 30E05, 42A70, 42A82, 44A60] 47A20 - Dilations, extensions, compressions

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