Function space
From Wiki @ Karl Jones dot com
In mathematics, a function space is a set of functions of a given kind from a set X to a set Y.
Description
It is called a space because in many applications it is a topological space (including metric spaces), a vector space, or both.
Namely, if Y is a field, functions have inherent vector structure with two operations of pointwise addition and multiplication to a scalar.
Topological and metrical structures of function spaces are more diverse.
See also
External links
- Function space @ Wikipedia.org
