A Katznelson–Tzafriri type theorem for Cesàro bounded operators
A Katznelson–Tzafriri type theorem for Cesàro bounded operators
We extend the well-known Katznelson–Tzafriri theorem, originally stated for power-bounded operators, to the case of Cesàro bounded operators of any order $\alpha \gt 0.$ For this purpose, we use a functional calculus between a new class of fractional Wien