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A Characterization of a Sparse Blaschke Product

Published online by Cambridge University Press:  20 November 2018

Carroll Guillory*
Affiliation:
University of Southwestern Louisiana Lafayette, LA 70504
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Abstract

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We give a characterization of a sparse Blaschke product b in terms of the separation of support sets of its zeros in M(H∞ + C) and the structure of the nonanalytic points. We use this characterization to give a sufficient condition on an interpolating Blaschke product q to have the following property: there exists a non trivial Gleason part P on which q is nonzero and less than one.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1989

References

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