Year: 2011
Author: Zhizhi Chen, Wei Lin, Lü-Lin Luo
Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 378–384
Abstract
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 $A_q(x, y)$ between two vectors $x$ and $y$ in $X$, such that $x$ is Birkhoff orthogonal to $y$ if and only if $A_q(x, y) = \frac{π}{2}$. Some other properties of this angle are also discussed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-CMR-19081
Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 378–384
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: projection norm Birkhoff orthogonality angle Minkowski plane duality.