A Characterization of Inner Product Spaces Related to the Skew-Angular Distance
Matematičeskie zametki, Tome 93 (2013) no. 4, pp. 549-554

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A new refinement of the triangle inequality is presented in normed linear spaces. Moreover, a simple characterization of inner product spaces is obtained by using the skew-angular distance.
Keywords: triangle inequality, inner product space, angular distance, normed linear space, skew-angular distance.
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     author = {H. Dehghan},
     title = {A {Characterization} of {Inner} {Product} {Spaces} {Related} to the {Skew-Angular} {Distance}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {549--554},
     publisher = {mathdoc},
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     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_4_a5/}
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H. Dehghan. A Characterization of Inner Product Spaces Related to the Skew-Angular Distance. Matematičeskie zametki, Tome 93 (2013) no. 4, pp. 549-554. http://geodesic.mathdoc.fr/item/MZM_2013_93_4_a5/