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On closed ideals in convergence function algebras

✍ Scribed by E. Binz

Publisher: Springer
Year: 1969
Tongue: English
Weight: 447 KB
Volume: 182
Category: Article
ISSN: 0025-5831
DOI: 10.1007/bf01350317

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We study closedness properties of ideals generated by real - analytic functions in some subrings \(\mathcal{C}\) of \(C^{\infty}(\Omega)\), where \(\Omega\) is an open subset of \(\mathbb{R}^{n}\). In contrast with the case \(\mathcal{C}=C^{\infty}(\Omega)\), which has been clarified by famous works