Article
Spaceability of subsets of the disc algebra
Author/s | Gerlach Mena, Pablo José
Müller, Jürgen |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 2022-02-02 |
Deposit Date | 2024-02-19 |
Published in |
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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 ... 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. |
Citation | Gerlach Mena, P.J. y Müller, J. (2022). Spaceability of subsets of the disc algebra. Computational Methods and Function Theory, 23, 73-86. https://doi.org/10.1007/s40315-021-00433-1. |
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