Antilinear - Definition and Overview

In mathematics, a real linear transformation f from a complex vector space V to another is said to be antilinear (or conjugate-linear or semilinear) if

<math>f(cx+dy)=\bar{c}f(x)+\bar{d}f(y)<math>

for all c, d in C and all x, y in V.

See also: complex conjugate, sesquilinear form