A norm inequality related to affine regular hexagons

被引：2
|
作者：
Wolf R. [1 ]
机构：
[1] Fachbereich Mathematik, Universität Salzburg, 5020 Salzburg
来源：
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2012年 / 53卷 / 2期
关键词：
Affine regular hexagon; Two-dimensional real normed space; Unit sphere;
D O I：
10.1007/s13366-011-0075-1
中图分类号：
学科分类号：
摘要：
Let (E, ∥.∥) be a two-dimensional real normed space with unit sphere S = {x ∈ E, ∥x∥ = 1}. The main result of this paper is the following: Consider an affine regular hexagon with vertex set H = {±v 1, ±v 2, ±v 3} ⊆ S inscribed to S. Then we have and equality if and only if S is a parallelogram or an affine regular hexagon. © 2011 The Managing Editors.
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页码：529 / 546
页数：17
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