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Projections, Birkhoff Orthogonality and Angles in Normed Spaces

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