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：康光红[1] 李淼[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2011年第3期515-518,共4页Journal of Sichuan University(Natural Science Edition)

摘　　要：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.

关 键 词：α-次预解算子族 有界扰动 范数连续性 紧性 可微性 

分 类 号：O175.3[理学—数学]