A proof of Liouville’s theorem
A proof of Liouville’s theorem
THEOREM 995 operators (or «X» matrices, by approximation), ||^(i/)|| =il, so that ||p(.4)||^ 1 for all A in (B.By continuity, this holds for any function p continuous in the closed unit disc, holomorphic in its interior, and satisfying (2).This was first proved by von Neumann [3] in 1951(see also [2]).