Let V be a complex vector space, with conjugation $\displaystyle \chi:V\to V$. Prove that a subspace W of V is the complexification of a real vector space S iff W is close under $\displaystyle \chi$

Haven't a clue how to work this one.

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- Nov 5th 2011, 10:06 AMdwsmithComplexification of a real vector space
Let V be a complex vector space, with conjugation $\displaystyle \chi:V\to V$. Prove that a subspace W of V is the complexification of a real vector space S iff W is close under $\displaystyle \chi$

Haven't a clue how to work this one. - Nov 5th 2011, 07:23 PMDrexel28Re: Complexification of a real vector space