New classes of spaceable sets of analytic functions on the open unit disk
Volume 169 / 2022
Colloquium Mathematicum 169 (2022), 319-331
MSC: Primary: 15A03; Secondary: 30H20, 30H30.
DOI: 10.4064/cm8463-7-2021
Published online: 24 March 2022
Abstract
We study an algebraic and topological structure inside the following sets of special functions: Bloch functions defined on the open unit disk that are unbounded, and analytic mappings of bounded type defined on a Banach algebra $E$ into $E$ which are not Lorch-analytic.
