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 \( V \).