Definition:Space of Bounded Linear Functionals

Definition
Let $\mathbb F$ be a subfield of $\C$.

Let $\struct {X, \norm \cdot}$ be a normed vector space over $\mathbb F$.

We define the space of bounded linear functionals on $X$, written $\map B {X, \mathbb F}$, as the set of all bounded linear functionals on $X$.

Also see

 * Definition:Space of Bounded Linear Transformations, of which this is a special case
 * Definition:Normed Dual Space