Algebraic properties of Hamel functions

DOI10.1007/S10474-009-9052-7zbMath1224.15003OpenAlexW2020400308MaRDI QIDQ624228

Tomasz Natkaniec, Grzegorz Matusik

Publication date: 8 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-9052-7

zbMATH Keywords

Hamel basisadditive functionHamel functionlinearly independent function

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Real-valued functions in general topology (54C30) Vector spaces, linear dependence, rank, lineability (15A03) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (1)

Free group of Hamel functions

Cites Work

• Unnamed Item
• The \(\mathcal I\)-almost constant convergence of sequences of real functions.
• Darboux-like functions within the class of Hamel functions
• Finitely continuous Hamel functions
• On Functions Whose Graph is a Hamel Basis, II
• Some remarks on discrete Baire classes
• On functions whose graph is a Hamel basis

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