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Ideals in the Wiener algebra W+

Part of: Commutative Banach algebras and commutative topological algebras Spaces and algebras of analytic functions

Published online by Cambridge University Press:  09 April 2009

Raymond Mortini  and
Michael von Renteln
Raymond Mortini
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, D-7500 Karlsruhe 1, Federal Republic of Germany
Michael von Renteln
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, D-7500 Karlsruhe 1, Federal Republic of Germany
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Abstract

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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.

MSC classification

Secondary: 46J15: Banach algebras of differentiable or analytic functions, $H^p$-spaces 46J20: Ideals, maximal ideals, boundaries 30H05: Bounded analytic functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 46 , Issue 2 , April 1989 , pp. 220 - 228
Copyright
Copyright © Australian Mathematical Society 1989

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