English

Numerical range and positive block matrices

Functional Analysis 2020-04-17 v1

Abstract

We obtain several norm and eigenvalue inequalities for positive matrices partitioned into four blocks. The results involve the numerical range of the off-diagonal block X, especially the distance from 0 to W(X).

Keywords

Cite

@article{arxiv.2004.07533,
  title  = {Numerical range and positive block matrices},
  author = {Jean Christophe Bourin and Eun-Young Lee},
  journal= {arXiv preprint arXiv:2004.07533},
  year   = {2020}
}
R2 v1 2026-06-23T14:53:26.864Z