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. https://doi.org/10.68381/jca26004

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Published by Heldermann Verlag, 2019. Rights now held by Banach Press.