2019
DOI: 10.1353/mpr.2019.0005
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A constructive approach to the Universality Criterion for semi-groups

Abstract: We prove a generalization of the well-known Universality Criterion in the setting of continuous homomorphisms acting on a separable, complete, metrizable topological semigroup by constructing a particular universal element. Consequently, we simplify the proof of a 1955 classical result of Heins on the existence of universal Blaschke products on the unit ball of H ∞ (D), and the proofs of a number of other related results, by unifying them in the semigroup setting. Motivated by our generalization, we provide ne… Show more

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Cited by 4 publications
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