Infinite dimensional holomorphic non-extendability and algebraic genericity
DOI10.1016/j.laa.2016.10.008zbMath1364.46040OpenAlexW2530133405MaRDI QIDQ344894
Juan B. Seoane-Sepúlveda, Luis Bernal-González, María del Carmen Calderón-Moreno
Publication date: 25 November 2016
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2016.10.008
balanced domaindomain of existencemaximal algebrabilitymaximal spaceabilitynon-continuable holomorphic functions
Infinite-dimensional holomorphy (46G20) Domains of holomorphy (32D05) Vector spaces, linear dependence, rank, lineability (15A03) Analytic continuation of functions of one complex variable (30B40) Algebras of analytic functions of one complex variable (30H50)
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Cites Work
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- Spaceability and algebrability in the theory of domains of existence in Banach spaces
- On lineability of sets of continuous functions
- Lineability and algebrability of pathological phenomena in analysis
- On dense-lineability of sets of functions on \(\mathbb R\)
- Metrizability of spaces of holomorphic functions with the Nachbin topology
- Baire's category theorem and trigonometric series
- An undecidable case of lineability in \(\mathbb R^{\mathbb R}\)
- Uncountably generated algebras of everywhere surjective functions
- Strong \(\mathfrak c\)-algebrability of strong Sierpiński-Zygmund, smooth nowhere analytic and other sets of functions
- Large function algebras with certain topological properties
- Nonseparable spaceability and strong algebrability of sets of continuous singular functions
- Basic sequences and spaceability in \(\ell_p\) spaces
- Lineability criteria, with applications
- The space \(\mathcal H(\Omega,(z_j))\) of holomorphic functions
- Large linear manifolds of noncontinuable boundary-regular holomorphic functions
- Spaces of holomorphic functions in regular domains
- Linear subsets of nonlinear sets in topological vector spaces
- Lineability
- Algebraic genericity of strict-order integrability
- Existence Domains of Holomorphic Functions of Restricted Growth
- Topological and algebraic genericity of divergence and universality
- Linear Kierst–Szpilrajn theorems
- Lineability and spaceability of sets of functions on $\mathbb {R}$
- Strong algebrability of sets of sequences and functions
- Some results and open questions on spaceability in function spaces
- Algebrability of the set of non-convergent Fourier series
- Linear structure of weighted holomorphic non-extendibility
- Lineability and algebrability of the set of holomorphic functions with a given domain of existence
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