α-次预解算子族在有界扰动下的性质保持(英文)

On the property persistence of a-times resolvent operator families under bounded perturbation

作者考虑了α-次预解算子族(1<α<2)在有界扰动下的性质保持,证明在适当条件下扰动α-次预解算子族继承了原有预解族的范数连续性,紧性以及可微性.

This paper is concerned with property persistence of α-times resolvent operator families （1〈α〈2） under bounded perturbation. Under some conditions, it is showed that the perturbed α-times re- solvent operator family inherits the norm continuity, compactness and differentiability.