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A Note on Noncommutative Interpolation |
Canad. Math. Bull. 46(2003), 59-70
Published:2003-03-01
Printed: Mar 2003
Printed: Mar 2003
- T. Constantinescu
- J. L. Johnson
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 |