The Banach-Saks theorem states that every bounded sequence contains a subsequence and a point x such that
converges strongly to x as N goes to infinity.
Read more about this topic: Weak Convergence (Hilbert Space)
Famous quotes containing the word theorem:
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)