Given a linear operator $A$ over a space $S$ that has a inner product defined, we define the adjoint operator $A_{†}$ (the $†$ symbol is called "dagger") as the unique operator that satisfies:

$∀v,w∈S,<Av,w>=<v,A_{†}w>$

Given a linear operator $A$ over a space $S$ that has a inner product defined, we define the adjoint operator $A_{†}$ (the $†$ symbol is called "dagger") as the unique operator that satisfies:

$∀v,w∈S,<Av,w>=<v,A_{†}w>$