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The Maximal Ideal Space of Algebras of Bounded Analytic Functions on Infinitely Connected Domains

The Maximal Ideal Space of Algebras of Bounded Analytic Functions on Infinitely Connected Domains

Introduction.Let D be a domain in the complex plane, and let H°°(D) be the algebra of bounded analytic functions on D. When equipped with the norm of uniform convergence, H°°(D) becomes a uniform algebra, whose maximal ideal space will be denoted by Ji(D).The domain D can be identified with an …