On bisectors in normed planes

Authors

  • Thomas Jahn TU Chemnitz
  • Margarita Spirova TU Chemnitz

DOI:

https://doi.org/10.11575/cdm.v10i2.62371

Keywords:

Bisector, normed plane, norming functional

Abstract

In this note, we completely describe the shape of the bisector of two given points in a two-dimensional normed vector space. More precisely, we show that, depending on the position of two given points with respect to the shape of the unit circle, the following holds: the bisector of a non-strict pair of points consists of two cones and a curve, which has properties similar to those of bisectors of strict pairs of points.

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Published

2016-04-28

Issue

Vol. 10 No. 2 (2015)

Section

Articles

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