Definition:Dual Vector Space

Definition
Let $V$ be a vector space.

Let $\phi: V \to \R$ be a linear mapping.

The set of all $\phi$ is called a dual space (of $V$) and is denoted by $V^*$.

Also see

 * Definition:Algebraic Dual: the concept as applied to a module over a general commutative ring
 * Definition:Normed Dual Space