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Finitely generated ideals in the disk algebra

Published online by Cambridge University Press:  17 April 2009

Raymond Mortini
Raymond Mortini
Affiliation:
Mathematisches Institut I Universität Karlsruhe Postfach6980 D-76128 Karlsruhe 1Germany E-mail: AB05@DKAUNI2.Bitnet
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Abstract

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Let f1, …, fN ∈ A(D). It is shown that the ideal I(f1,…, fN) generated by the functions f1 (j = 1,…, N) equals the ideal

if and only if the functions fj have no common zero on the boundary of the unit disk D.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 3 , December 1994 , pp. 521 - 528
Copyright
Copyright © Australian Mathematical Society 1994

References

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