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Pratamadirdja, Mas Daffa
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Mathematics

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On Birkhoff Angles in Normed Spaces Gunawan, Hendra; Jamaludin, Muhamad; Pratamadirdja, Mas Daffa
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 3 (November 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.3.1030.270-284

Abstract

Associated to Birkhoff orthogonality, we study Birkhoff angles in a normed space and present some of their basic properties. We also discuss how to decide whether an angle is more acute or more obtuse than another. In addition, given two vectors $x$ and $y$ in a normed space, we study the formula for Birkhoff `cosine' of the angle from $x$ to $y$ from which we can, in principal, compute the angle. Some examples will be presented.
Co-Authors Hendra Gunawan Jamaludin, Muhamad