×

A constructive proof of the Marshall-Chang theorems. (Russian. English summary) Zbl 0577.46057

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

MSC:

46J30 Subalgebras of commutative topological algebras
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
PDFBibTeX XMLCite
Full Text: EuDML