Free pluriharmonic majorants and noncommutative interpolation
Functional Analysis
2007-12-18 v1 Operator Algebras
Abstract
In this paper, we initiate the study of sub-pluriharmonic curves in Cuntz-Toeplitz algebras and free pluriharmonic majorants on noncommutative balls. We are lead to a characterization of the noncommutative Hardy space in terms of free pluriharmonic majorants, and to a Schur type description of the unit ball of . These results are used to solve a multivariable commutant lifting problem and provide a description of all solutions.
Keywords
Cite
@article{arxiv.0712.2742,
title = {Free pluriharmonic majorants and noncommutative interpolation},
author = {Gelu Popescu},
journal= {arXiv preprint arXiv:0712.2742},
year = {2007}
}
Comments
35 pages