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

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

2011-08-26

arxiv.org/abs/1108.5219v1

Mathematics

Operator Algebras

Scientific paper

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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