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

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.

References in corpus (2)

• Connes' embedding conjecture and sums of hermitian squares
• Matrices of unitary moments