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The theorems of Carathéodory and Gluskin for $ 0<p<1$

Authors: Jesús Bastero, Julio Bernués and Ana Peña
Journal: Proc. Amer. Math. Soc. 123 (1995), 141-144
MSC: Primary 46A55; Secondary 46B20, 52A21
MathSciNet review: 1242074
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Abstract: In this note we prove the p-convex analogue of both Caratheodory's convexity theorem and Gluskin's theorem concerning the diameter of Minkowski compactum.

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Keywords: Minkowski compactum, p-convex sets
Article copyright: © Copyright 1995 American Mathematical Society