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On the length of faithful nuclear representations of finite rank operators

Published online by Cambridge University Press:  26 February 2010

A. Pełczynski
Affiliation:
Institut of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-950 Warsaw, Poland.
Nicole Tomczak-Jaegermann
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1.
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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.

Type
Research Article
Copyright
Copyright © University College London 1988

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