Spaceability and algebrability in the theory of domains of existence in Banach spaces

DOI10.1007/s13398-014-0191-5zbMath1331.46035OpenAlexW2047150118MaRDI QIDQ496385

Thiago R. Alves

Publication date: 21 September 2015

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-014-0191-5

zbMATH Keywords

algebrabilityspaceabilitydomains of existenceholomorphic functions on Banach spaces

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 (2)

Infinite dimensional holomorphic non-extendability and algebraic genericity ⋮ Holomorphic functions with distinguished properties on infinite dimensional spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weakly continuous holomorphic functions on pseudoconvex domains in Banach spaces
• Algebrability of the set of everywhere surjective functions on \(\mathbb C\)
• Linear subsets of nonlinear sets in topological vector spaces
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Strong algebrability of sets of sequences and functions
• Lineability and algebrability of the set of holomorphic functions with a given domain of existence

This page was built for publication: Spaceability and algebrability in the theory of domains of existence in Banach spaces