Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Convex Analysis 26 (2019), No. 1, [final page numbers not yet available]
Copyright Heldermann Verlag 2019



Orthogonality in Generalized Minkowski Spaces

Thomas Jahn
Faculty of Mathematics, Technische Universitšt, 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

[ Fulltext-pdf  (246  KB)] for subscribers only.