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.
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页码：378 / 384
页数：7
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