We give a necessary and sufficient condition in order that a mapf from a real linear space into a real Banach space should have the formf =L + r withL being a linear operator andr being a bounded perturbation.
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Ger, R., Volkmann, P. On sums of linear and bounded mappings. Abh.Math.Semin.Univ.Hambg. 68, 103–108 (1998). https://doi.org/10.1007/BF02942554
- Linear Operator
- Functional Equation
- Bound Mapping
- Real Banach Space
- Homogeneous Mapping