Lineability and algebrability of the set of holomorphic functions with a given domain of existence

DOI10.4064/SM220-2-4zbMath1307.46036OpenAlexW2317401020MaRDI QIDQ5746491

Thiago R. Alves

Publication date: 18 February 2014

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a762e078858f614d714eb8a31afa8701452e99d7

zbMATH Keywords

Banach spaceholomorphic functiondomain of existencelineable setalgebrable set

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Infinite-dimensional holomorphy (46G20) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (5)

Infinite dimensional holomorphic non-extendability and algebraic genericity ⋮ Holomorphic functions with large cluster sets ⋮ Holomorphic functions with distinguished properties on infinite dimensional spaces ⋮ Spaceability and algebrability in the theory of domains of existence in Banach spaces ⋮ Vector spaces of non-extendable holomorphic functions

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