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Agler-Commutant Lifting on an Annulus

2012/01/26 by Scott McCullough, McCullough, Scott, Saida Sultanic +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA

paper · pdf · doi:10.48550/arxiv.1201.5592

arxiv created 2012/01/26 · arxiv updated 2012/01/27

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.

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