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arxiv: 1201.5592 · v1 · pith:5VXHTFVXnew · submitted 2012-01-26 · 🧮 math.FA · math.OA

Agler-Commutant Lifting on an Annulus

classification 🧮 math.FA math.OA
keywords annulusfunctionsliftingspacetestagler-commutantcommutantdetermined
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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.

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