1. Aug 5, 2013

2. Aug 5, 2013

jbunniii

The statement indicates that $\langle \cdot, \cdot \rangle$ is a map from $V \times V$ to $F$. This means that to each ordered pair $(u,v)$ with $u,v \in V$, it assigns an element $\langle u,v \rangle$ in $F$.

Presumably $F$ is a field, and $V$ is a vector space over $F$.

3. Aug 6, 2013

EnglsihLearner

Yes, I understand now. Could you please explain what does "map" mean here?

As I know map means the following-

that $\langle \cdot, \cdot \rangle$ is a map from $V \times V$ to $F$