Algebrability of some subsets of the disk algebra

作者：Lourenco Mary Lilian^*; Vieira Daniela M

来源：Bulletin of the Belgian Mathematical Society Simon Stevin, 2016, 23(4): 505-514.

DOI：10.36045/bbms/1480993583

• algebrability
• Dales-Davie algebra
• disk algebra

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 {f is an element of A(D) : Sigma(n=0) (infinity) parallel to f((n))parallel to/n! = +infinity} is shown to be algebrable.

• 出版日期2016-12