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A Note on Noncommutative Interpolation

Published online by Cambridge University Press:  20 November 2018

T. Constantinescu  and
J. L. Johnson
T. Constantinescu
Affiliation:
Department of Mathematics, University of Texas at Dallas, Box 830688, Richardson, TX 75083-0688, USA, email: tiberiu@utdallas.edujlj@utdallas.edu
J. L. Johnson
Affiliation:
Department of Mathematics, University of Texas at Dallas, Box 830688, Richardson, TX 75083-0688, USA, email: tiberiu@utdallas.edujlj@utdallas.edu
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Abstract

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In this paper we formulate and solve Nevanlinna-Pick and Carathéodory 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.

Keywords

47A5747A20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 1 , 01 March 2003 , pp. 59 - 70
Copyright
Copyright © Canadian Mathematical Society 2003

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