19 lines
449 B
Markdown
19 lines
449 B
Markdown
---
|
|
alias: [ "additive", "additivité" ]
|
|
---
|
|
up:: [[application]]
|
|
title:: $f(x+y) = f(x) + f(y)$
|
|
sibling:: [[application sous-additive]]
|
|
#maths/analyse #maths/algèbre
|
|
|
|
---
|
|
|
|
> [!definition] Application additive
|
|
> Soit $f$ une application de $E \to F$
|
|
> $f$ est *additive* ssi :
|
|
> $\forall (x, y)\in E^{2}, \quad f(x+y) = f(x) + f(y)$
|
|
^definition
|
|
|
|
# Propriétés
|
|
|
|
- Une application additive est toujours [[application sous-additive|sous-additive]] |