Functiones et Approximatio Commentarii Mathematici
- Funct. Approx. Comment. Math.
- Volume 44, Number 2 (2011), 285-287.
When does a closed ideal of a commutative unital Banach algebra contain a dense subideal?
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.
Funct. Approx. Comment. Math., Volume 44, Number 2 (2011), 285-287.
First available in Project Euclid: 22 June 2011
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46J20: Ideals, maximal ideals, boundaries
Żelazko, Wiesław. When does a closed ideal of a commutative unital Banach algebra contain a dense subideal?. Funct. Approx. Comment. Math. 44 (2011), no. 2, 285--287. doi:10.7169/facm/1308749132. https://projecteuclid.org/euclid.facm/1308749132