Abstract

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.

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Keywords

  • Best approximation
  • bisector
  • Birkhoff orthogonality
  • gauge
  • generalized Minkowski space
  • isosceles orthogonality

Mathematics Subject Classification

46B20, 52A20, 52A21, 52A41, 90C25

Suggested citation

T. Jahn. “Orthogonality in Generalized Minkowski Spaces.” Journal of Convex Analysis 26 (2019), No. 1, 49–76.

Copyright Heldermann Verlag 2019