Loterre: Matemáticas: function space

mathematical analysis > functional analysis > function space

set theory > function space

algebra > linear algebra > function space

category theory > function space

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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Function_space)

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