Commutator lifting inequalities and interpolation
Functional Analysis
2007-05-23 v1 Operator Algebras
Abstract
In this paper we obtain a multivariable commutator lifting inequality, which extends to several variables a recent result of Foias, Frazho, and Kaashoek. The inequality yields a multivariable lifting theorem generalizing the noncommutative commutant lifting theorem. This is used to solve new operator-valued interpolation problems of Schur-Caratheodory, Nevanlinna-Pick, and Sarason type on Fock spaces. Some consequences to norm constrained analytic interpolation in the unit ball of C^n are also considered.
Cite
@article{arxiv.math/0310081,
title = {Commutator lifting inequalities and interpolation},
author = {Gelu Popescu},
journal= {arXiv preprint arXiv:math/0310081},
year = {2007}
}
Comments
19 pages