Journal of Convex Analysis 26 (2019), No. 1, 049--076
Copyright Heldermann Verlag 2019
Orthogonality in Generalized Minkowski Spaces
Thomas Jahn
Faculty of Mathematics, Technische Universität, 09107 Chemnitz, Germany
thomas.jahn@mathematik.tu-chemnitz.de
We combine functional analytic and geometric viewpoints on approximate Birkhoff and isosceles orthogonality in generalized Minkowski spaces which are finite-dimensional vector spaces equipped with a gauge. This is the first approach to orthogonality types in such spaces.
Keywords: Best approximation, bisector, Birkhoff orthogonality, gauge, generalized Minkowski space, isosceles orthogonality.
MSC: 46B20, 52A20, 52A21, 52A41, 90C25
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