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On sums of linear and bounded mappings

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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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Correspondence to R. Ger or P. Volkmann.

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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

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  • Linear Operator
  • Functional Equation
  • Bound Mapping
  • Real Banach Space
  • Homogeneous Mapping