Algebras generated by inner functions |
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| Authors: | Alain Bernard John B Garnett Donald E Marshall |
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| Affiliation: | Institut Fourier, Mathématiques Pures, Grenoble, France;University of California, Los Angeles, California 90024 USA |
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| 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. |
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