Non-commutative Caratheodory Interpolation

Details Non-commutative Caratheodory Interpolation Non-commutative Caratheodory Interpolation

2010-02-12

arxiv.org/abs/1002.2602v1

Mathematics

Functional Analysis

21 pages

Scientific paper

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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