Antilinear map
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In mathematics, a mapping f : V → W from a complex vector space to another is said to be antilinear (or conjugate-linear or semilinear) if
for all a, b in C and all x, y in V. The composition of two antilinear maps is complex-linear.
An antilinear map 
may be equivalently described in terms of the linear map 
to the complex conjugate vector space 
.
