An example of a maximal unimodular Dirichlet algebra

E. I. Yashagin

Kazan State Power Engineering University

Abstract: We construct an example of a maximal unimodular Dirichlet algebra whose one-point Gleason parts are dense in the maximal ideal space. The main statements were announced in [1] and now we provide their complete proofs.

Keywords: uniform algebra, Gleason part, Blaschke algebra.

Received: 03.05.2005

 English version: Siberian Mathematical Journal, 2007, 48:4, 762–766

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