English

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

Functional Analysis 2020-11-16 v1 Complex Variables

Abstract

In this paper 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 functions of bounded type defined a Banach algebra E into E, which are not Lorch-analytic.

Keywords

Cite

@article{arxiv.2011.06975,
  title  = {New classes of spaceable sets of analytic functions on the open unit disk},
  author = {M. Lilian Lourenço and Daniela M. Vieira},
  journal= {arXiv preprint arXiv:2011.06975},
  year   = {2020}
}

Comments

15 pages

R2 v1 2026-06-23T20:11:02.688Z