Source: wikibot/ran-space
= Ran space
{wiki=Ran_space}
In the context of mathematics, particularly functional analysis and linear algebra, the term "Ran space" typically refers to the range of a linear operator or a linear transformation. The range (or image) of a linear operator \\( T: V \\to W \\), where \\( V \\) and \\( W \\) are vector spaces, is the set of all vectors in \\( W \\) that can be expressed as \\( T(v) \\) for some \\( v \\) in \\( V \\).