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The Correlation Numerical Range of a Matrix and Connes' Embedding Problem

Published 26 Aug 2011 in math.OA and math.FA | (1108.5219v1)

Abstract: We define a new numerical range of an n\timesn complex matrix in terms of correlation matrices and develop some of its properties. We also define a related numerical range that arises from Alain Connes' famous embedding problem.

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