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math.FA2017
Growth orders and ergodicity for absolutely Cesàro bounded operators
Luciano Abadias, Antonio Bonilla
In this paper, we extend the concept of absolutely Cesàro boundedness to the fractional case. We construct a weighted shift operator belonging to this class of operators, and we pr…
math.FA2017
Cesàro bounded operators in Banach spaces
Teresa Bermúdez, Antonio Bonilla, Vladimir Müller +1
We study several notions of boundedness for operators. It is known that any power bounded operator is absolutely Cesàro bounded and strong Kreiss bounded (in particular, uniformly…