Composition and decomposition of indestructible Blaschke products
Daniela Kraus, Oliver Roth
TL;DR
This paper investigates properties of indestructible Blaschke products, proving that their composition remains indestructible and characterizing their factorization into bounded analytic functions.
Contribution
It establishes that the composition of indestructible Blaschke products is indestructible and characterizes their factorization into bounded analytic functions.
Findings
Composition of indestructible Blaschke products is indestructible
Indestructible Blaschke products factor into other indestructible Blaschke products
Provides new insights into the structure of indestructible Blaschke products
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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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Advanced Banach Space Theory