Hermitian form/Definition

A sesquilinear form ${\displaystyle {}\left\langle -,-\right\rangle }$ on a complex vector space ${\displaystyle {}V}$ is called Hermitian, if

${\displaystyle {}\left\langle v,u\right\rangle ={\overline {\left\langle u,v\right\rangle }}\,}$

holds for all ${\displaystyle {}u,v\in V}$.