Abstract
In this paper, we present a new orthogonality in a normed linear space which is based on an angular distance inequality. Some properties of this orthogonality are discussed. We also find a new approach to the Singer orthogonality in terms of an angular distance inequality. Some related geometric properties of normed linear spaces are discussed. Finally a characterization of inner product spaces is obtained.
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Dadipour, F., Sadeghi, F. & Salemi, A. An orthogonality in normed linear spaces based on angular distance inequality. Aequat. Math. 90, 281–297 (2016). https://doi.org/10.1007/s00010-014-0333-z
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DOI: https://doi.org/10.1007/s00010-014-0333-z