Abelian ergodic theorems for contraction semigroups

On almost everywhere convergence of Abel means of contraction semigroups

“…The main result of this note (Theorem 4) extends a special case of a theorem of N. Dunford and J. T. Schwartz [2, p. 178], If p = 1 in our theorem then the assumption ||2Y|U^;i for έ ;> 0 is unnecessary [5].…”