STRONG CONVERGENCE THEOREMS FOR COMMUTATIVE SEMIGROUPS OF CONTINUOUS LINEAR OPERATORS ON BANACH SPACES
Kazutaka Eshita, Wataru Takahashi · Taiwanese Journal of Mathematics · 2005
We first prove a strong convergence theorem of Mann’s type for a commutative family of continuous linear operators in a Banach space by using strongly regular sequences of means on commutative semigroups. Using this, we obtain various strong convergence theorems for continuous linear operators in a Banach space.