Functiones et Approximatio Commentarii Mathematici
- Funct. Approx. Comment. Math.
- Volume 48, Number 1 (2013), 113-115.
Concerning dense subideals in commutative Banach algebras
In the paper  we have shown that in the case of a separable Banach algebra $A$ the necessary and sufficient condition in order that a closed ideal $I\subset A$ has a dense subideal is that $I$ is not finitely (algebraically) generated. We conjectured that this result is true in the general case. In this paper we give an example showing that this conjecture fails to be true.
Funct. Approx. Comment. Math., Volume 48, Number 1 (2013), 113-115.
First available in Project Euclid: 25 March 2013
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46J20: Ideals, maximal ideals, boundaries
Żelazko, Wiesław. Concerning dense subideals in commutative Banach algebras. Funct. Approx. Comment. Math. 48 (2013), no. 1, 113--115. doi:10.7169/facm/2013.48.1.8. https://projecteuclid.org/euclid.facm/1364222832