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The two characteristic theorems of interpolating Blaschke products. (Chinese. English summary) Zbl 0807.46069

Summary: According to the zero points distribution of Blaschke products on the maximal ideal space \(M\) of \(H^ \infty\), the two characteristic theorems that Blaschke products are interpolating Blaschke products are given.

MSC:

46J20 Ideals, maximal ideals, boundaries
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
30D50 Blaschke products, etc. (MSC2000)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)