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Hilbert空间上最终范数连续半群的扰动
引用本文:赵转萍. Hilbert空间上最终范数连续半群的扰动[J]. 中北大学学报(自然科学版), 2009, 30(4): 312-314
作者姓名:赵转萍
作者单位:山西大学,商务学院,山西,太原,030031
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.

关 键 词:半群  最终范数连续半群  相对有界  扰动

Perturbation of Eventually Norm Continuous Semigroups on Hilbert Space
ZHAO Zhuan-ping. Perturbation of Eventually Norm Continuous Semigroups on Hilbert Space[J]. Journal of North University of China, 2009, 30(4): 312-314
Authors:ZHAO Zhuan-ping
Affiliation:Business College;Shanxi University;Taiyuan 030031;China
Abstract: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 norm-continuous semigroups is obtained,which makes the perturbation of the semigroups more abundant.
Keywords:semigroups  eventually norm-continuous semigroups  relatively-bounded  perturbation  
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