Searching for structures inside of the family of bounded derivatives which are not Riemann integrable

DOI10.11650/TJM/180403zbMath1450.46014OpenAlexW2799483459MaRDI QIDQ1722044

Pablo Jiménez-Rodríguez

Publication date: 14 February 2019

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

Full work available at URL: https://projecteuclid.org/euclid.twjm/1524038539

zbMATH Keywords

derivativesspaceabilitylineabilityRiemann integrability

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Banach spaces of continuous, differentiable or analytic functions (46E15) Vector spaces, linear dependence, rank, lineability (15A03) Antidifferentiation (26A36) Lineability in functional analysis (46B87)

Cites Work

• Unnamed Item
• \(c_0\) is isometrically isomorphic to a subspace of Cantor-Lebesgue functions
• Lineability
• Infinite dimensional Banach spaces of functions with nonlinear properties
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• A Bounded Derivative That Is Not Riemann Integrable

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