Vol’berg, A. L. A constructive proof of the Marshall-Chang theorems. (Russian. English summary) Zbl 0577.46057 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 141, 149-153 (1985). The Marshall-Chang theorem asserts that every uniform algebra between \(H^{\infty}\) and \(L^{\infty}\) is a Douglas algebra. The original proof [see J. B. Garnett, Bounded analytic functions (1981; Zbl 0469.30024), ch. IX] needs maximal ideal space, therefore is non- constructive. The author presents the constructive proof of this theorem different from that given earlier by C. Sundberg [J. Funct. Anal. 46, 239-245 (1982; Zbl 0543.46032)]. The main idea of this proof has some applications which are stated too. Reviewer: A.Zabulionis Cited in 1 ReviewCited in 1 Document MSC: 46J30 Subalgebras of commutative topological algebras 46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces Keywords:Marshall-Chang theorem; uniform algebra; Douglas algebra; constructive Citations:Zbl 0469.30024; Zbl 0543.46032 PDFBibTeX XMLCite \textit{A. L. Vol'berg}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 141, 149--153 (1985; Zbl 0577.46057) Full Text: EuDML