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Algebrability of some subsets of the disk algebra.

Authors :
Lourenço, Mary Lilian
Vieira, Daniela M.
Source :
Bulletin of the Belgian Mathematical Society - Simon Stevin. Nov2016, Vol. 23 Issue 4, p505-514. 10p.
Publication Year :
2016

Abstract

We showthat the subset of the disk algebra of the functions that are not in some Dales-Davie algebra is algebrable. In other words, the set {ƒ ∈ A(D) : Σn = 0∞ ∥ƒ(n)∥/n! = +∞} is shown to be algebrable. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13701444
Volume :
23
Issue :
4
Database :
Academic Search Index
Journal :
Bulletin of the Belgian Mathematical Society - Simon Stevin
Publication Type :
Academic Journal
Accession number :
120125296
Full Text :
https://doi.org/10.36045/bbms/1480993583