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Donald E. Marshall

University of California, Los Angeles

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Journal of Functional Analysis | 1977

Algebras generated by inner functions

Alain Bernard; John B. Garnett; Donald E. Marshall

Abstract Let A be a uniform algebra on a compact space X. An inner function is a function in A unimodular on X. For three algebras of type H∞ we prove A is generated by its inner functions. Whenever A is generated by its inner functions we prove the unit ball of A is the closed convex ball of the inner functions.

Acta Mathematica | 1976