GERLACH MENA, PABLO JOSÉ, Mueller, J.
No
Comput. Methods Funct. Theory
Article
Científica
2.1
0.535
02/02/2022
000749921300001
2-s2.0-85124101472
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.
Disc algebra; Lineability; spaceability; Algebrability; Unboundedly divergence