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New Banach space properties of certain spaces of analytic functions. (English) Zbl 0592.46048

Proc. Int. Congr. Math., Warszawa 1983, Vol. 2, 945-951 (1984).
[For the entire collection see Zbl 0553.00001.]
This report is a survey on the isomorphic theory of spaces of analytic functions, specially the disc algebra A(D) and related topics. Most of the contents is dedicated to results of the author. Open and recently solved problems on local structure, isomorphic classification, interpolation and approximation in certain algebras of analytic functions in several variables are considered.

MSC:

46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
41A05 Interpolation in approximation theory
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)

Citations:

Zbl 0553.00001