Non-commutative Caratheodory Interpolation
Functional Analysis
2010-02-15 v1 Operator Algebras
Abstract
We prove a Caratheodory-Fejer type interpolation theorem for certain matrix convex sets in 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.
Cite
@article{arxiv.1002.2602,
title = {Non-commutative Caratheodory Interpolation},
author = {Sriram Balasubramanian},
journal= {arXiv preprint arXiv:1002.2602},
year = {2010}
}
Comments
21 pages