Lineability, spaceability, and algebrability of certain subsets of function spaces

DOI10.11650/twjm/1500405506zbMath1201.46027OpenAlexW4251622610MaRDI QIDQ730660

Miguel Martín, Francisco Javier García-Pacheco, Juan B. Seoane-Sepúlveda

Publication date: 12 October 2009

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405506

zbMATH Keywords

Riemann integrable functionsalgebrabilityspaceabilitylineabilityLebesgue integrable functionscontinuous unbounded functions

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Singular functions, Cantor functions, functions with other special properties (26A30) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Real-valued functions in general topology (54C30) Vector spaces, linear dependence, rank, lineability (15A03) Rings and algebras of continuous, differentiable or analytic functions (46E25)

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