On functions whose graph is a Hamel basis. (English) Zbl 1012.15001
Real valued Hamel functions are considered. The additivity condition of a function \(f(x,y)\) is studied. The representation of a function as a sum of two Hamel functions is discussed. It is shown that every function is the pointwise sum of two Hamel functions. A connection of this statement with function additivity is given.
Reviewer: Václav Burjan (Praha)
MSC:
| 15A03 | Vector spaces, linear dependence, rank, lineability |
| 26A21 | Classification of real functions; Baire classification of sets and functions |
| 54C30 | Real-valued functions in general topology |
| 54C40 | Algebraic properties of function spaces in general topology |
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