|⟨𝒖,𝒗⟩|≤‖𝒖‖‖𝒗‖

Or the more familiar real number version

(∑𝑢𝑖𝑣𝑖)2≤(∑𝑢2𝑖)(∑𝑣2𝑖)

AM-GM inequality

Applications

References