On the (C,α) Cesàro bounded operators
Elmouloudi Ed-dari (2004)
Studia Mathematica
Similarity:
For a given linear operator T in a complex Banach space X and α ∈ ℂ with ℜ (α) > 0, we define the nth Cesàro mean of order α of the powers of T by . For α = 1, we find , the usual Cesàro mean. We give necessary and sufficient conditions for a (C,α) bounded operator to be (C,α) strongly (weakly) ergodic.