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Homogeneity of isosceles orthogonality, transitivity of the norm, and characterizations of inner product spaces

Wu, SL; He, YX; He, C

Wu, SL (corresponding author), North Univ China, Dept Math, Taiyuan 030051, Peoples R China.

AEQUATIONES MATHEMATICAE, 2021; 95 (5): 953

Abstract

Let X be a normed linear space. We prove that if the norm on X is almost transitive and if there exists a unit vector u satisfying that, for each poin......

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