English

DDVV-type inequality for Hermitian matrices

Differential Geometry 2017-04-25 v2 Rings and Algebras

Abstract

In this paper we extend DDVV-type inequalities involving the Frobenius norm of commutators from real symmetric and skew-symmetric matrices to Hermitian and skew-Hermitian matrices.

Cite

@article{arxiv.1610.05020,
  title  = {DDVV-type inequality for Hermitian matrices},
  author = {Jianquan Ge and Song Xu and Hangyu You and Yi Zhou},
  journal= {arXiv preprint arXiv:1610.05020},
  year   = {2017}
}

Comments

15 pages, accepted version, to appear in Linear Algebra and its Applications, more detailed proof of DDVV-type inequality by Ge-Tang's method is presented according to the referee's directive and helpful comments

R2 v1 2026-06-22T16:22:38.413Z