数学物理学报 ›› 2005, Vol. 25 ›› Issue (1): 27-34.

• 论文 • 上一篇    下一篇

正则预解算子族的乘积扰动

张寄洲   

  1. 上海师范大学数理信息学院 上海200234
  • 出版日期:2005-02-25 发布日期:2005-02-25
  • 基金资助:

    上海市自然科学基金、上海市教委重点学科基金和曙光计划基金资助

Multiplicative Perturbations of Regularized Resolvent Operator Families

 ZHANG Ji-Zhou   

  • Online:2005-02-25 Published:2005-02-25
  • Supported by:

    上海市自然科学基金、上海市教委重点学科基金和曙光计划基金资助

摘要:

设K∈C(R+)和B是一个有界线性算子.作者证明如果犃生成一个指数有界的A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.

关键词: 正则预解算子族,预解算子族,乘积扰动,加法扰动

Abstract:

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.

Key words: Regularized resolvent operator family;Resolvent operator family, Multiplicative perturbation;Additive perturbation

中图分类号: 

  • 47D05