Spaceability of Subsets of the Disc Algebra

被引：0
|
作者：
P. J. Gerlach-Mena
J. Müller
机构：
[1] Universidad Loyola,Departamento de Ingeniería
[2] University of Trier,undefined
来源：
Computational Methods and Function Theory | 2023年 / 23卷
关键词：
Disc algebra; Lineability; spaceability; Algebrability; Unboundedly divergence; Primary 30B30; Secondary 30H50;
D O I：
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学科分类号：
摘要：
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.
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页码：73 / 86
页数：13
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