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 |
2.10000 |
SJR Impact |
0.53500 |
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 |
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