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A Characterization of a Sparse Blaschke Product

Published online by Cambridge University Press:  20 November 2018

Carroll Guillory
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

46J1546J20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 4 , 01 December 1989 , pp. 385 - 390
Copyright
Copyright © Canadian Mathematical Society 1989

References

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5. Izuchi, K., Zero sets of interpolating Blaschke products, to appear in the Pac. J. of Math.Google Scholar