The Additive Operator Preserving Birkhoff Orthogonal

@article{Guo2019TheAO,
  title={The Additive Operator Preserving Birkhoff Orthogonal},
  author={S. Guo},
  journal={Journal of Applied Mathematics and Physics},
  year={2019},
  volume={07},
  pages={505-512}
}
  • S. Guo
  • Published 2019
  • Mathematics
  • Journal of Applied Mathematics and Physics
The Birkhoff orthogonal plays an important role in the geometric study of Banach spaces. It has been con rmed that a Birkhoff orthogonality preserving linear operator between two normed linear spaces must necessarily be a scalar multiple of a linear isometry. In this paper, the author gives a new result that a Birkhoff orthogonality preserving additive operator between two-dimensional normed linear spaces is necessarily a scalar multiple of a linear isometry. 

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