Abstract
This article is devoted to introducing new geometric constants that quantify the difference between Roberts orthogonality and Birkhoff orthogonality in normed planes. We start by characterizing Roberts orthogonality in two different ways: via bisectors of two points and the use of certain linear transformations. Each of these characterizations yields one of those geometric constants that we study.
Citation
Vitor Balestro. Horst Martini. Ralph Teixeira. "Geometric constants for quantifying the difference between orthogonality types." Ann. Funct. Anal. 7 (4) 656 - 671, November 2016. https://doi.org/10.1215/20088752-3661053
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