Additive colourful Caratheodory type results with an application to radii

作者：Brugger Matthias; Fiedler Maximilian; Gonzalez Merino Bernardo; Kirschbaum Anja

来源：Linear Algebra and Its Applications, 2018, 554: 342-357.

DOI：10.1016/j.laa.2018.05.032

• Additive Belly theorem
• Additive colourful Caratheodory theorem
• Convex bodies
• Outer and Inner radii
• Vector sums
• Minkowski addition

In this paper we study the behaviour of the circumradius with respect to the Minkowski addition in generalized Minkowski spaces. To do so, we solve additive colourful Caratheodory type results, under certain equilibria conditions.

• 出版日期2018-10-1