On the Mean Ergodic Theorem
Leon W. Cohen · Annals of Mathematics · 1940
is a weakly compact set, then there is an xo e B such that Txo = x0 and lim Lnx = xo. The theorem may be regarded as stating4 that the sequence T'x is transformed by a regular matrix5 namely that of the Cesaro means of order 1, into a sequence Lax which, if it is weakly compact, converges strongly to an element invariant under T. A natural problem is that of determining a class of regular matrices a, i such that if