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Functions Belonging to a Dirichlet Subalgebra of the Disk Algebra

Published online by Cambridge University Press:  20 November 2018

Bruce Lund
Bruce Lund*
Affiliation:
Mathematics Department, University of New Brunswick, Fredericton, New Brunswick, Canada
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Browder and Wermer in [2] give a method for constructing Dirichlet subalgebras of the disk algebra. In this note we show that these Dirichlet algebras do not contain any non-constant functions which satisfy a Lipschitz-one condition on a subinterval of the unit circle.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 375 - 377
Copyright
Copyright © Canadian Mathematical Society 1975

References

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