Dual space
= Dual space
{wiki=Dual_space}
In mathematics, particularly in functional analysis and linear algebra, the concept of the **dual space** is important in studying vector spaces and linear maps. \#\#\# Definition Given a vector space \\( V \\) over a field \\( F \\) (commonly the real numbers \\( \\mathbb\{R\} \\) or complex numbers \\( \\mathbb\{C\} \\)), the **dual space** \\( V^* \\) is defined as the set of all linear functionals on \\( V \\).