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Projections,Birkhoff Orthogonality and Angles in Normed Spaces

Projections,Birkhoff Orthogonality and Angles in Normed Spaces
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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. 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.
出处 《Communications in Mathematical Research》 CSCD 2011年第4期378-384,共7页 数学研究通讯(英文版)
关键词 PROJECTION NORM Birkhoff orthogonality ANGLE Minkowski plane DUALITY projection, norm, Birkhoff orthogonality, angle, Minkowski plane, duality
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参考文献8

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