On angular bisectors in normed linear spaces

Authors

  • Horst Martini
  • Senlin Wu

DOI:

https://doi.org/10.1285/i15900932v30n1p107

Keywords:

angular bisector, angular measure, characterization of inner product spaces, Minkowski plane, Minkowski space, norm, weak bisector property

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.

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Published

07-06-2011

Issue

Volume 30, Issue 1 (2010)

Section

Articoli

License

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode