Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (1): 27-34.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 47D05
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