Projections,Birkhoff Orthogonality and Angles in Normed Spaces

被引：0

作者：

Chen Zhi-zhi1

机构：

来源：

CommunicationsinMathematicalResearch | 2011年 / 27卷 / 04期

关键词：

projection; norm; Birkhoff orthogonality; angle; Minkowski plane; duality;

D O I：

10.13447/j.1674-5647.2011.04.009

中图分类号：

O177.3 [线性空间理论（向量空间）];

学科分类号：

摘要：

Let X be a Minkowski plane,i.e.,a real two dimensional normed linear space.We use projections to give a definition of the angle Aq(x,y)between two vectors x and y in X,such that x is Birkhoff orthogonal to y if and only if Aq(x,y)= π 2.Some other properties of this angle are also discussed.

引用

页码：378 / 384

页数：7

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