# 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} }

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.

#### References

SHOWING 1-10 OF 12 REFERENCES