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