Agler-Commutant Lifting on an Annulus

Abstract

The main result is a test function style commutant lifting theorem for an annulus A. The test functions are the minimal inner functions for A. The model space is the Sarason Hardy Hilbert space for A uniquely determined by the fact that its reproducing kernel has no zeros.

References in corpus (2)

• An improved Julia-Caratheodory theorem for Schur-Agler mappings of the unit ball
• On a class of Model Hilbert Spaces