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On the length of faithful nuclear representations of finite rank operators
Published online by Cambridge University Press: 26 February 2010
Abstract
We study the minimal length of faithful nuclear representations of operators acting between finite-dimensional Banach spaces and the related minimal number of contact points of the John ellipsoid of maximal volume contained in the unit ball of a finite-dimensional Banach space. In both cases the classical upper estimates, which follow from the Caratheodory theorem, are shown to be exact. Related isometric characterizations of are proved.
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- Research Article
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- Copyright © University College London 1988
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