English

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

Operator Algebras 2011-08-29 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.1108.5219,
  title  = {The Correlation Numerical Range of a Matrix and Connes' Embedding Problem},
  author = {Don Hadwin and Deguang Han},
  journal= {arXiv preprint arXiv:1108.5219},
  year   = {2011}
}
R2 v1 2026-06-21T18:55:25.586Z