Composition and decomposition of indestructible Blaschke products

2013/04/21 by Daniela Kraus, Oliver Roth, Kraus, Daniela +1
Mathematics · #30H05 #30J05 #30J10 #Advanced Banach Space Theory #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:30H05 #msc:30J05 #msc:30J10

paper · pdf · doi:10.48550/arxiv.1304.5787

arxiv created 2013/04/21 · openalex publication_date 2013/04/21 · arxiv updated 2013/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the composition of two indestructible Blaschke products is again an indestructible Blaschke product. We also show that if an indestructible Blaschke product is the composition of two bounded analytic functions, then both functions are indestructible Blaschke products.

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