Projection (algebra linear)

Projection
subclasse de: linear map[*], idempotent function[*], projection[*]

In algebra linear e analyse functional, un projection es un transformation linear P de un spatio de vectores a ipse tal que P² = P.

Le equation de autovalores (eigenvalue)

$A|n>=a_{n}|n>$

defini

$P_{n}=|n><n|,$

$A=\sum _{n}a_{n}P_{n}=\sum _{n}a_{n}|n><n|.$

$I=\sum _{n}P_{n}=\sum _{n}|n><n|.$