Common
Function space
Set of functions between two fixed sets
Function space
In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is inherited by the function space. For example, the set of functions from any set X into a vector space has a natural vector space structure given by pointwise addition and scalar multiplication. In other scenarios, the function space might inherit a topological or metric structure, hence the name function space. Often in mathematical jargon, especially in analysis or geometry, a function could refer to a map of the form X → R {\displaystyle X\to \mathbb {R} } or X → C {\displaystyle X\to \mathbb {C} } where X {\displaystyle X} is the space in question. Whilst other maps of the form X → Y...
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