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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 Universitšt, 09107 Chemnitz, Germany

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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