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**sfitz** Hello, I am having a hard time understanding what is meant by this notation:

2. Are the following vector spaces?

(iii) $\displaystyle V= \lbrace f: \Re \longrightarrow C : f(-t) = \overline{f(t)}, \forall t \in \Re \rbrace$, (over $\displaystyle C$ and with the usual addition and scalar multiplication of functions).

(The $\displaystyle C$ is the complex numbers; I'm not sure how to do that in Latex)

The part that's comfusing me is the overline... does that mean that $\displaystyle \overline{f(t)}$ is a vector? Do the reals map to the complexes as a vector because it's an ordered pair $\displaystyle (a,b)$ with $\displaystyle a+bi $ as a complex number? Thank you for any help!