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
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