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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1242074-2
PII: S 0002-9939(1995)1242074-2
Keywords: Minkowski compactum, p-convex sets
Article copyright: © Copyright 1995 American Mathematical Society