正则预解算子族的乘积扰动  

Multiplicative Perturbations of Regularized Resolvent Operator Families

作　　者：张寄洲[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《数学物理学报（A辑）》2005年第1期27-34,共8页Acta Mathematica Scientia

基　　金：上海市自然科学基金;上海市教委重点学科基金;曙光计划基金资助

摘　　要：设k∈C(R+)和B是一个有界线性算子.作者证明如果A生成一个指数有界的k-正则预解算子族,那么BA,AB或A(I+B),(I+B)A也生成一个指数有界的k-正则预解算子族.此外,作者也给出了k-正则预解算子族的加法扰动的相应结果.Let k∈C(R++) and B be a linear bounded operator. The author proves that if A generates an exponentially bounded k-regularized resolvent operator family, then BA, AB or A(I+B), (I+B)A also generate an exponentially bounded k-regularized resolvent operator family. In addition, the corresponding results of additive perturbation of k-regularized resolvent operator family are obtained.

关 键 词：正则预解算子族 预解算子族 乘积扰动 加法扰动 

分 类 号：O177[理学—数学]