Abstract
In this paper by using the notion of homogeneity property of the isosceles orthogonality, we derive some characterizations of inner product spaces. We also prove that a weakened hypothesis of the homogeneity of the isosceles orthogonality and a weakened reformulation of the Ficken characterization can still characterize inner product spaces. Finally, we present a characterization of inner product spaces related to an angular distance equality.
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Dadipour, F., Sadeghi, F. & Salemi, A. Characterizations of inner product spaces involving homogeneity of isosceles orthogonality. Arch. Math. 104, 431–439 (2015). https://doi.org/10.1007/s00013-015-0762-5
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DOI: https://doi.org/10.1007/s00013-015-0762-5