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Giannopoulos, A. and Milman, V.D. (2000) Extremal Problems and Isotropic Positions of Convex Bodies. Israel J. Math., 117, 29-60. https://doi.org/10.1007/BF02773562

has been cited by the following article:

• TITLE: Extremal Problems Related to Dual Gauss-John Position

  AUTHORS: Tongyi Ma

  KEYWORDS: Dual Gauss-John Position, Optimization Theorem of John, Contact Pair

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.12, December 26, 2018

  ABSTRACT: In this paper, the extremal problem, min, of two convex bodies K and L in ℝn is considered. For K to be in extremal position in terms of a decomposition of the identity, give necessary conditions together with the optimization theorem of John. Besides, we also consider the weaker optimization problem: min. As an application, we give the geometric distance between the unit ball B2n and a centrally symmetric convex body K.