dual space

Noun

 * 1)  The vector space which comprises the set of linear functionals of a given vector space.
 * 2)  The vector space which comprises the set of continuous linear functionals of a given topological vector space.

Usage notes
Defined for all vector spaces, the dual space may, for clarity, be called the. When defined for a, the (algebraic) dual space has a subspace that corresponds to continuous linear functionals and is called the or  — or simply the dual space.