J Austral Math Soc Ser A 46 pp220--228, 1989.

Ideals in the Wiener Algebra W+

Raymond Mortini and Michael von Renteln

(Received 6 March 1987)

Abstract

Let W+ denote the Banach algebra of all absolutely convergent Taylor series in the open unit disc. We characterize the finitely generated closed and prime ideals in W+. Finally, we solve a problem of Rubel and McVoy by showing that W+ is not coherent.

1980 AMS Subject Classification (1985 Revision): 46J15, 46J20, 30H05

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Authors

Raymond Mortini
Michael von Renteln
Mathematisches Institut I, Universität Karlsruhe, D-7500 Karlsruhe 1, Federal Republic of Germany.

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