Hilbert空间上最终范数连续半群的扰动  

Perturbation of Eventually Norm Continuous Semigroups on Hilbert Space

作　　者：赵转萍[1] 

机构地区：[1]山西大学商务学院,山西太原030031

出　　处：《中北大学学报（自然科学版）》2009年第4期312-314,共3页Journal of North University of China(Natural Science Edition)

基　　金：回国留学人员基金资助项目

摘　　要：在算子半群扰动的基础上,对一类型半群即最终范数连续半群的扰动进行了研究,得到了Hilbert空间中最终范数连续半群的一个新的扰动结果,使得半群扰动的结果更加丰富.The perturbation of eventually norm continuous semigroups is studied on the basis of operator semigroups perturbation. A new perturbation result on the Hilbert space for the eventually normcontinuous semigroups is obtained, which makes the perturbation of the semigroups more abundant.

关 键 词：半群 最终范数连续半群 相对有界 扰动 

分 类 号：O177[理学—数学]