Items for "normed linear space"

Jung's theorem for a pair of Minkowski spaces

We give generalizations of Jung's theorem for the case when there are two Minkowski metrics in ℝⁿ one of which is used to define the diameter of a set M ∈ ℝⁿ, and the other to determine the radius of the Minkowski ball containing M.

Keywords: Direct vector sum, H-convexity, Minkowski geometry, Minkowski metric, normed linear space