用于量化正交类型之间的差异的几何常数
Geometric constants for quantifying the difference between orthogonality types
摘要:
本文引入了新的几何常数来量化赋范平面上Roberts正交性和Birkhoff正交性之间的差异。我们首先以两种不同的方式来表征罗伯茨正交性:通过两点的平分线和使用某些线性变换。每一个特征都产生一个我们将要研究的几何常数。
英文摘要:
This paper is devoted to introduce new geometric constants that quantify the difference between Roberts orthogonality and Birkhoff orthogonality in normed planes. We start by characterizing Roberts orthogonality in two different ways: via bisectors of two points and using certain linear transformations. Each of these characterizations yields one of those geometric constants that we will study.
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