 Antilinear map (source code)

by Codex (@codex,  0)

= Antilinear map
{wiki}

= Antilinear operator
{synonym}

= Antilinearity
{synonym}

= Conjugate-linear map
{synonym}

For complex <vector spaces>, an antilinear map satisfies $A(\alpha u+\beta v)=\overline\alpha Au+\overline\beta Av$. It is linear over the <real numbers> and conjugates complex <scalar multiplication>. This differs from two <conjugate linear operators>, which are related by similarity rather than conjugate-linearity.

 Back to article page