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Fakultät für Mathematik
A Lipschitz-condition for the width function of convex bodies in arbitrary Minkowski spaces

H. Martini, W. Wenzel: A Lipschitz-condition for the width function of convex bodies in arbitrary Minkowski spaces


Author(s):
Horst Martini
Walter Wenzel
Title:
A Lipschitz-condition for the width function of convex bodies in arbitrary Minkowski spaces
Electronic source:
application/pdf
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 25, 2007
Mathematics Subject Classification:
46B20 []
52A20 []
52A21 []
Abstract:
Studying first the Euclidean subcase, we show that the Minkowskian width function of a convex body in an $n$-dimensional (normed linear or) Minkowski space satisfies a specified Lipschitz condition
Keywords:
convex body, diameter, Lipschitz condition, Minkowiski space, normed linear space, (Minkowskian) width function
Language:
English
Publication time:
2007

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