Linear structure of weighted holomorphic non-extendibility

DOI10.1017/S0004972700035371zbMath1104.30003MaRDI QIDQ5480141

Luis Bernal-González

Publication date: 26 July 2006

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary behavior of power series in one complex variable; over-convergence (30B30) Analytic continuation of functions of one complex variable (30B40)

Related Items

Infinite dimensional holomorphic non-extendability and algebraic genericity ⋮ Lineability criteria, with applications ⋮ Lineability of sets of nowhere analytic functions ⋮ Vector spaces of non-extendable holomorphic functions ⋮ Large subspaces of compositionally universal functions with maximal cluster sets ⋮ Subspaces of frequently hypercyclic functions for sequences of composition operators ⋮ Linear subsets of nonlinear sets in topological vector spaces

Cites Work

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• On lineability of sets of continuous functions
• Baire's category theorem and trigonometric series
• Linearity of sets of strange functions
• Linear Kierst–Szpilrajn theorems