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On the length of faithful nuclear representations of finite rank operators

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  26 February 2010

A. Pełczynski  and
Nicole Tomczak-Jaegermann
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.

MSC classification

Secondary: 46B20: Geometry and structure of normed linear spaces
Type
Research Article
Information
Mathematika , Volume 35 , Issue 1 , June 1988 , pp. 126 - 143
Copyright
Copyright © University College London 1988

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