Boundedness Types of Perturbations on the Growth of Semigroups
Boundedness Types of Perturbations on the Growth of Semigroups
We study types of boundedness of a semigroup on a Banach space in terms of the Cesáro-average and the behavior of the resolvent at the origin and also exhibit a characterization of type Hille-Yosida for the generators of ϕj-bounded strongly continuous semigroups. Furthermore, these results are used to investigate the …