Commutator lifting inequalities and interpolation

Details Commutator lifting inequalities and interpolation Commutator lifting inequalities and interpolation

2003-10-06

arxiv.org/abs/math/0310081v1

Mathematics

Functional Analysis

19 pages

Scientific paper

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.

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