Corpus ID: 55206620

On Some Results on Linear Orthogonality Spaces

@article{Kanu2014OnSR,
  title={On Some Results on Linear Orthogonality Spaces},
  author={R. U. Kanu and K. Rauf},
  journal={Asian Journal of Mathematics and Applications},
  year={2014},
  volume={2014}
}
  • R. U. Kanu, K. Rauf
  • Published 2014
  • Mathematics
  • Asian Journal of Mathematics and Applications
The existence of an inner product provides a means of introducing the notion of orthogonality in normed linear spaces. The most natural definition of orthogonality is: “x⊥y, if and only if the inner product is zero.” This paper introduces different notions of orthogonality in normed linear spaces and shows that they are all equivalent in real Hilbert spaces. Also, some characterizations of linear orthogonality spaces are given. 
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