Título |
Spaceability of Subsets of the Disc Algebra |
Autores |
GERLACH MENA, PABLO JOSÉ, Mueller, J. |
Publicación externa |
No |
Medio |
Comput. Methods Funct. Theory |
Alcance |
Article |
Naturaleza |
Científica |
Cuartil JCR |
2 |
Cuartil SJR |
2 |
Web |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124101472&doi=10.1007%2fs40315-021-00433-1&partnerID=40&md5=badde48b788ebbbe29f6f1efb28b9c55 |
Fecha de publicacion |
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. |
Palabras clave |
Disc algebra; Lineability; spaceability; Algebrability; Unboundedly divergence |
Miembros de la Universidad Loyola |
|