Projections, Birkhoff Orthogonality and Angles in Normed Spaces
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 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)=π2. 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.
Author Details
Zhizhi Chen Email
Wei Lin Email
Lü-Lin Luo Email