Meaning of the mapping

Question

I am reading basic sets. In the section of sesquilinear mapping, I came across this mapping $f: X \to X^*$ i.e $x \ $ maps to $ (x|.)$

Here I know $X$ is a function space, I guess $X^*$ stands for its dual. $(|)$ is inner mapping.

My question: What exactly is $(x|.)$?

Thanks in advance for the explanation.

Answer 1

It is the map

$$\begin{array} .(x\:|\:\cdot): & X & \to & \mathbb{C} \\ & y & \mapsto & (x|y) \end{array}$$