Non-commutative Caratheodory Interpolation
classification
🧮 math.FA
math.OA
keywords
interpolationnon-commutativeabstractalgebrasblecher-ruan-sinclaircaratheodorycaratheodory-fejercertain
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We prove a Caratheodory-Fejer type interpolation theorem for certain matrix convex sets in $\C^d$ using the Blecher-Ruan-Sinclair characterization of abstract operator algebras. Our results generalize the work of Dmitry S. Kalyuzhnyi-Verbovetzkii for the d-dimensional non-commutative polydisc.
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