, Volume 37, Issue 1-2, pp 113-119

Wolff’s proof of the Corona Theorem

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Abstract

An expository account is given of T. Wolff’s recent elementary proof of Carleson’s Corona Theorem (1962). The Corona Theorem answers affirmatively a question raised by S. Kakatani (1957) as to whether the open unit disc in the complex plane is dense in the maximal ideal space of the Banach algebra of bounded analytic functions thereon.

Based on a talk given at the Conference on Banach Spaces, Kent State University, August 6–August 16, 1979.
Partially supported by NSF Grant No. MCS 77-02213.