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The non-commutative Caratheodory-Fejer problem

Posted on:2011-01-26Degree:Ph.DType:Dissertation
University:University of FloridaCandidate:Balasubramanian, SriramFull Text:PDF
GTID:1440390002469514Subject:Applied Mathematics
Abstract/Summary:
We pose the Caratheodory-Fejer interpolation problem for open, circled and bounded matrix-convex sets in Cd . By using the Blecher-Ruan-Sinclair characterization of an abstract unital operator algebra, we obtain a necessary and sufficient condition for the existence of a minimum-norm solution to the problem.
Keywords/Search Tags:Problem, Caratheodory-fejer
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