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On angular bisectors in normed linear spaces


Abstract


We prove that a Minkowski space is Euclidean if it has the weak bisector property. This confirms a conjecture of R. W. Freese, C. R. Diminnie, and E. Z. Andalafte.

DOI Code: 10.1285/i15900932v30n1p107

Keywords:
angular bisector; angular measure; characterization of inner product spaces; Minkowski plane; Minkowski space; norm; weak bisector property

Classification: 46B20; 46C15; 52A21

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