# Vektorraum/Abbildungsmenge nach K/Aufgabe/en

Zur Navigation springen Zur Suche springen

Let ${\displaystyle {}K}$ be a field and ${\displaystyle {}I}$ an index set. Show that

${\displaystyle K^{I}:=\operatorname {Maps} \,(I,K)}$
with pointwise addition and scalar multiplication is a ${\displaystyle {}K}$-vector space.