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New classes of spaceable sets of analytic functions on the open unit disk

Volume 169 / 2022

M. Lilian Lourenço, Daniela M. Vieira 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.

Authors

  • M. Lilian LourençoInstitute of Mathematics and Statistics
    University of São Paulo
    R. do Matão, 1010
    Butantã, São Paulo, SP
    Brazil, 05508-090
    e-mail
  • Daniela M. VieiraInstitute of Mathematics and Statistics
    University of São Paulo
    R. do Matão, 1010
    Butantã, São Paulo, SP
    Brazil, 05508-090
    e-mail

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