Kaiser, C. and Weis, L. (2003) A Perturbation Theorem for Operator Semigroups in Hilbert Spaces. Semigroup Forum, 67, 63-75.
https://doi.org/10.1007/s002330010166

has been cited by the following article:

• TITLE: Boundedness Types of Perturbations on the Growth of Semigroups

  AUTHORS: Zuheir Khidir Ahmed Abdelgader, Nariman Khider Ahmed Abdalgadir, Entisar Bakhit Bashir Elshikh, Abualez Alamin Ahmed Ali

  KEYWORDS: Cesáro Average, C0-Semigroups, Boundedness, Perturbation Stability, Hille-Yosida, Growth of Sequences

  JOURNAL NAME: Advances in Pure Mathematics, Vol.13 No.1, January 19, 2023

  ABSTRACT: 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 effect of the Perturbation on the type of the growth of sequences.