J. Bastero et al., THE THEOREMS OF CARATHEODORY AND GLUSKIN FOR 0-LESS-THAN-P-LESS-THAN-1, Proceedings of the American Mathematical Society, 123(1), 1995, pp. 141-144
In this note we prove the p-convex analogue of both Caratheodory's con
vexity theorem and Gluskin's theorem concerning the diameter of Minkow
ski compactum.