Antilinear map: Difference between revisions

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Revision as of 16:10, 4 January 2004

In mathematics, a real linear transformation f from a complex vector space V to another is said to be antilinear if

\,f(cx)=c^{*}f(x)

for all c in C and all x in V.

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-In [[mathematics]], a [[real]] [[linear transformation]], f from a [[Complex number|complex]] [[vector space]], V to another is said to be "antilinear" if:
+In [[mathematics]], a [[real number|real]] [[linear transformation]] ''f'' from a [[Complex number|complex]] [[vector space]] V to another is said to be '''antilinear''' if
-: <math>\forall c\in\mathbb{C}\,\forall A\in V\,f(cA)=c^*f(A)</math>.
+: <math>\,f(cx)=c^*f(x)</math>
+for all ''c'' in '''C''' and all ''x'' in ''V''.