Angular measures and Birkhoff orthogonality in Minkowski planes
Naszódi, M., Prokaj, V. & Swanepoel, K.
(2020).
Angular measures and Birkhoff orthogonality in Minkowski planes.
Aequationes Mathematicae,
94(5), 969 - 977.
https://doi.org/10.1007/s00010-020-00715-4
(2020).
Angular measures and Birkhoff orthogonality in Minkowski planes.
Aequationes Mathematicae,
94(5), 969 - 977.
https://doi.org/10.1007/s00010-020-00715-4
Let x and y be two unit vectors in a normed plane R 2. We say that x is Birkhoff orthogonal to y if the line through x in the direction y supports the unit disc. A B-measure (Fankhänel in Beitr Algebra Geom 52(2):335–342, 2011) is an angular measure μ on the unit circle for which μ(C) = π/ 2 whenever C is a shorter arc of the unit circle connecting two Birkhoff orthogonal points. We present a characterization of the normed planes that admit a B-measure.
