Abstract
We show that the subset of the disk algebra of the functions that are not in some Dales-Davie algebra is algebrable. In other words, the set $\Big\{f\in\mathcal{A}(D)\,:\,\sum_{n=0}^{\infty}\dfrac{\|f^{(n)}\|}{n!}=+\infty\Big\}$ is shown to be algebrable.
Citation
Mary Lilian Lourenço. Daniela M. Vieira. "Algebrability of some subsets of the disk algebra." Bull. Belg. Math. Soc. Simon Stevin 23 (4) 505 - 514, november 2016. https://doi.org/10.36045/bbms/1480993583
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