Abstract
We present results that concern the properties of the maximal ideal space of the algebra , the algebra of bounded sequences of functions belonging to the disc algebra . We show that the structure of this maximal ideal space resembles the structure of the maximal ideal space of the algebra H ∞ . Following the construction used by Hoffman for the case of H ∞ , and using the properties of the sequences of finite Blaschke products, we obtain a description of the analytic structure of the maximal ideal space of . At the same time, the results obtained offer a glimpse into the topological structure of this maximal ideal space. This work comprises a portion of the author's doctoral dissertation written under the direction of Professor Stuart Sidney.
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