Consider a complex vector space V,
if I decompose a Postive definite Hermitian form (,) into real and imaginary part, i get
$$(v,w)=\lbrace v,w \rbrace +[v,w]i$$
How can I show that whenever two such herimitian form have equal imaginary part, the two forms are equal?
Thanks in advance.
My thoughts: I try to make use of a n dimension complex vector space has the same basis as n dimension real vector space has...