| Title | Spaceability of Subsets of the Disc Algebra |
|---|---|
| Authors | GERLACH MENA, PABLO JOSÉ, Mueller, J. |
| External publication | No |
| Means | Comput. Methods Funct. Theory |
| Scope | Article |
| Nature | Científica |
| JCR Quartile | 1 |
| SJR Quartile | 2 |
| JCR Impact | 2.1 |
| SJR Impact | 0.535 |
| Web | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124101472&doi=10.1007%2fs40315-021-00433-1&partnerID=40&md5=badde48b788ebbbe29f6f1efb28b9c55 |
| Publication date | 02/02/2022 |
| ISI | 000749921300001 |
| Scopus Id | 2-s2.0-85124101472 |
| DOI | 10.1007/s40315-021-00433-1 |
| Abstract | In this paper we analyse the topological and linear structure of different subsets of the disc algebra. Among others, we consider the set of functions in the disc algebra having a Taylor series about 0 which is unboundedly divergent on a given subset of the unit circle of vanishing arc length measure, and the subsets of functions having uniformly bounded or uniformly convergent Taylor series on the unit circle. |
| Keywords | Disc algebra; Lineability; spaceability; Algebrability; Unboundedly divergence |
| Universidad Loyola members |