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June 2011 When does a closed ideal of a commutative unital Banach algebra contain a dense subideal?
Wiesław Żelazko
Funct. Approx. Comment. Math. 44(2): 285-287 (June 2011). DOI: 10.7169/facm/1308749132

Abstract

The question formulated in the title is answered in the case of a separable algebra. The necessary and sufficient condition in this case is that the ideal in question is not finitely (algebraically) generated. We conjecture that this result is true in the general case.

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Wiesław Żelazko. "When does a closed ideal of a commutative unital Banach algebra contain a dense subideal?." Funct. Approx. Comment. Math. 44 (2) 285 - 287, June 2011. https://doi.org/10.7169/facm/1308749132

Information

Published: June 2011
First available in Project Euclid: 22 June 2011

zbMATH: 1230.46047
MathSciNet: MR2841187
Digital Object Identifier: 10.7169/facm/1308749132

Subjects:
Primary: 46J20

Rights: Copyright © 2011 Adam Mickiewicz University

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Vol.44 • No. 2 • June 2011
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