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

2020/11/13 by M. Lilian Lourenço, Lourenço, M. Lilian, Daniela M. Vieira +1
Mathematics · #30H30 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Primary: 15A03. Secondary: 30H20

paper · pdf · doi:10.48550/arxiv.2011.06975

openalex publication_date 2020/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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